A) $\{\sqrt{6}\}$ B) $\{36\}$ C) $\{6\}$ D) $\{144\}$ A) $\{\sqrt{6}\}$ B) $\{36\}$ C) $\{6\}$ D) $\{144\}$

Exam 7: Radical Expressions and Equations

What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical? - $\sqrt[4]{x^{3} y^{5} z^{14}}$

(Multiple Choice)

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Question 21

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[3]{2} \cdot \sqrt[4]{12}$

(Multiple Choice)

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Question 22

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[5]{r} \cdot \sqrt{r}$

(Multiple Choice)

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Question 23

Rewrite the radical expression using rational exponents. A ssume all variables represent nonnegative real numbers. - $\sqrt[4]{17}$

(Multiple Choice)

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Question 24

olve. Check for extraneous solutions. - $\sqrt{3 \mathrm{x}}+5=8$

(Multiple Choice)

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Question 25

Multiply. Write your answer in a +bi form. - $(5-6 i)^{2}$

(Multiple Choice)

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Question 26

Simplify the radical expression. If appropriate, include absolute values. - $\sqrt{144 x^{2}}$

(Multiple Choice)

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Question 27

Simplify the radical expression. Indicate if the expression is not a real number. - $-\sqrt{\frac{625}{36}}$

(Multiple Choice)

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Question 28

$\sqrt{2}+6 \sqrt{32}+7 \sqrt{98}$

(Multiple Choice)

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Question 29

Approximate to the nearest thousandth, using a calculator - $\sqrt{0.00227}$

(Multiple Choice)

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Question 30

Choose the one alternative that best completes the statement or answers thequestion. Express in terms of i. - $\sqrt{-81}$

(Multiple Choice)

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Question 31

Simplify the radical expression. Indicate if the expression is not a real number. - $\sqrt{\frac{484}{25}}$

(Multiple Choice)

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Question 32

Find the missing complex number - $\frac{?}{5-2 \mathrm{i}}=8-5 \mathrm{i}$

(Multiple Choice)

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Question 33

A ssume all variables represent nonnegative real numbers. - $\sqrt{11}(\sqrt{5}-4 \sqrt{33})$

(Multiple Choice)

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Question 34

$2 x^{1 / 2}-9=3$

(Multiple Choice)

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Question 35

Evaluate the radical function at the given value of the variable. - $f(x)=-\sqrt{x^{2}+2 x+1}$ ; find $f(-9)$ .

(Multiple Choice)

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Question 36

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers. - $\frac{5 \sqrt{4 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$

(Multiple Choice)

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Question 37

Factor completely - $x^{5 / 2}-2 x^{3 / 2}-35 x^{1 / 2}$

(Multiple Choice)

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Question 38

Add or subtract the complex numbers - $(10+8 \mathrm{i})-(3+2 \mathrm{i})-(10-5 \mathrm{i})$

(Multiple Choice)

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Question 39

$(9+8 \mathrm{i}) \div(4-3 \mathrm{i})$

(Multiple Choice)

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Question 40

What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical? - $\sqrt[4]{x^{3} y^{5} z^{14}}$

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[3]{2} \cdot \sqrt[4]{12}$

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[5]{r} \cdot \sqrt{r}$

Rewrite the radical expression using rational exponents. A ssume all variables represent nonnegative real numbers. - $\sqrt[4]{17}$

olve. Check for extraneous solutions. - $\sqrt{3 \mathrm{x}}+5=8$

Multiply. Write your answer in a +bi form. - $(5-6 i)^{2}$

Simplify the radical expression. If appropriate, include absolute values. - $\sqrt{144 x^{2}}$

Simplify the radical expression. Indicate if the expression is not a real number. - $-\sqrt{\frac{625}{36}}$

$\sqrt{2}+6 \sqrt{32}+7 \sqrt{98}$

Approximate to the nearest thousandth, using a calculator - $\sqrt{0.00227}$

Choose the one alternative that best completes the statement or answers thequestion. Express in terms of i. - $\sqrt{-81}$

Simplify the radical expression. Indicate if the expression is not a real number. - $\sqrt{\frac{484}{25}}$

Find the missing complex number - $\frac{?}{5-2 \mathrm{i}}=8-5 \mathrm{i}$

A ssume all variables represent nonnegative real numbers. - $\sqrt{11}(\sqrt{5}-4 \sqrt{33})$

$2 x^{1 / 2}-9=3$

Evaluate the radical function at the given value of the variable. - $f(x)=-\sqrt{x^{2}+2 x+1}$ ; find $f(-9)$ .

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers. - $\frac{5 \sqrt{4 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$

Factor completely - $x^{5 / 2}-2 x^{3 / 2}-35 x^{1 / 2}$

Add or subtract the complex numbers - $(10+8 \mathrm{i})-(3+2 \mathrm{i})-(10-5 \mathrm{i})$

$(9+8 \mathrm{i}) \div(4-3 \mathrm{i})$

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 7: Radical Expressions and Equations

What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical? - x3y5z144\sqrt[4]{x^{3} y^{5} z^{14}}4x3y5z14​

Simplify the expression. Assume all variables represent nonnegative real numbers. - 23⋅124\sqrt[3]{2} \cdot \sqrt[4]{12}32​⋅412​

Simplify the expression. Assume all variables represent nonnegative real numbers. - r5⋅r\sqrt[5]{r} \cdot \sqrt{r}5r​⋅r​

Rewrite the radical expression using rational exponents. A ssume all variables represent nonnegative real numbers. - 174\sqrt[4]{17}417​

olve. Check for extraneous solutions. - 3x+5=8\sqrt{3 \mathrm{x}}+5=83x​+5=8

Multiply. Write your answer in a +bi form. - (5−6i)2(5-6 i)^{2}(5−6i)2

Simplify the radical expression. If appropriate, include absolute values. - 144x2\sqrt{144 x^{2}}144x2​

Simplify the radical expression. Indicate if the expression is not a real number. - −62536-\sqrt{\frac{625}{36}}−36625​​

2+632+798\sqrt{2}+6 \sqrt{32}+7 \sqrt{98}2​+632​+798​

Approximate to the nearest thousandth, using a calculator - 0.00227\sqrt{0.00227}0.00227​

Choose the one alternative that best completes the statement or answers thequestion. Express in terms of i. - −81\sqrt{-81}−81​

Simplify the radical expression. Indicate if the expression is not a real number. - 48425\sqrt{\frac{484}{25}}25484​​

Find the missing complex number - ?5−2i=8−5i\frac{?}{5-2 \mathrm{i}}=8-5 \mathrm{i}5−2i?​=8−5i

A ssume all variables represent nonnegative real numbers. - 11(5−433)\sqrt{11}(\sqrt{5}-4 \sqrt{33})11​(5​−433​)

2x1/2−9=32 x^{1 / 2}-9=32x1/2−9=3

Evaluate the radical function at the given value of the variable. - f(x)=−x2+2x+1f(x)=-\sqrt{x^{2}+2 x+1}f(x)=−x2+2x+1​ ; find f(−9)f(-9)f(−9) .

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers. - 54xx3\frac{5 \sqrt{4 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}x3​54x​​

Factor completely - x5/2−2x3/2−35x1/2x^{5 / 2}-2 x^{3 / 2}-35 x^{1 / 2}x5/2−2x3/2−35x1/2

Add or subtract the complex numbers - (10+8i)−(3+2i)−(10−5i)(10+8 \mathrm{i})-(3+2 \mathrm{i})-(10-5 \mathrm{i})(10+8i)−(3+2i)−(10−5i)

(9+8i)÷(4−3i)(9+8 \mathrm{i}) \div(4-3 \mathrm{i})(9+8i)÷(4−3i)

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

What is the simplest radical expression that can be multiplied by the given radical expression so that the product can be simplified to no longer contain a radical? - $\sqrt[4]{x^{3} y^{5} z^{14}}$

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[3]{2} \cdot \sqrt[4]{12}$

Simplify the expression. Assume all variables represent nonnegative real numbers. - $\sqrt[5]{r} \cdot \sqrt{r}$

Rewrite the radical expression using rational exponents. A ssume all variables represent nonnegative real numbers. - $\sqrt[4]{17}$

olve. Check for extraneous solutions. - $\sqrt{3 \mathrm{x}}+5=8$

Multiply. Write your answer in a +bi form. - $(5-6 i)^{2}$

Simplify the radical expression. If appropriate, include absolute values. - $\sqrt{144 x^{2}}$

Simplify the radical expression. Indicate if the expression is not a real number. - $-\sqrt{\frac{625}{36}}$

$\sqrt{2}+6 \sqrt{32}+7 \sqrt{98}$

Approximate to the nearest thousandth, using a calculator - $\sqrt{0.00227}$

Choose the one alternative that best completes the statement or answers thequestion. Express in terms of i. - $\sqrt{-81}$

Simplify the radical expression. Indicate if the expression is not a real number. - $\sqrt{\frac{484}{25}}$

Find the missing complex number - $\frac{?}{5-2 \mathrm{i}}=8-5 \mathrm{i}$

A ssume all variables represent nonnegative real numbers. - $\sqrt{11}(\sqrt{5}-4 \sqrt{33})$

$2 x^{1 / 2}-9=3$

Evaluate the radical function at the given value of the variable. - $f(x)=-\sqrt{x^{2}+2 x+1}$ ; find $f(-9)$ .

Rationalize the denominator and simplify. A ssume all variables represent nonnegative real numbers. - $\frac{5 \sqrt{4 \mathrm{x}}}{\sqrt{\mathrm{x}^{3}}}$

Factor completely - $x^{5 / 2}-2 x^{3 / 2}-35 x^{1 / 2}$

Add or subtract the complex numbers - $(10+8 \mathrm{i})-(3+2 \mathrm{i})-(10-5 \mathrm{i})$

$(9+8 \mathrm{i}) \div(4-3 \mathrm{i})$