Exam 9: Radical Expressions and Equations

Write the word or phrase that best completes each statement or answers the question. -Explain the procedure you would use to find the quotient $\frac { 2 - 2 i } { - 2 + 3 i }$

Simplify. Assume all variables represent nonnegative values. - $\sqrt { \frac { 19 } { 25 } }$

Provide an appropriate response.(True or false) -If a > 0 and b > 0, then $\sqrt { - a } \cdot \sqrt { b } = i \sqrt { a b }$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain why if n is odd, x1/n is defined even if x is negative.

Solve the problem. -The length a spring is stretched from its natural length with work, W foot-pounds, is given by $L = \sqrt { \frac { 2 W } { k } }$

Solve the problem. Round the answer to the nearest hundredth. -If a pendulum has a period of 1.2 seconds, find its length in inches. Use the formula $\mathrm { T } = 2 \pi \sqrt { \frac { \mathrm { L } } { 384 } }$

Simplify. Assume all variables represent nonnegative values. - $\sqrt { \frac { 12 x ^ { 2 } y } { 49 } }$

Simplify the radical expression. Assume all variables represent nonnegative real numbers. - $\sqrt [ 4 ] { 16 x ^ { 8 } }$

Add or subtract the complex numbers -(4 + 6i) - (-2 + i)

Evaluate the radical function at the given value of the variable. - $f ( x ) = \sqrt [ 6 ] { x + 10 }$

Find the missing number. - $\frac { \sqrt { ? } } { \sqrt { 5 } } = 2$

Simplify the radical expression. Assume all variables represent nonnegative real numbers. - $- \sqrt [ 3 ] { - 729 }$

Divide. - $1 \div ( 6 + 8 i )$

Choose the one alternative that best completes the statement or answers the question. Multiply. Assume all variables represent nonnegative real numbers. - $\sqrt { 7 } ( 9 + \sqrt { 7 } )$

Simplify. - $\frac { \sqrt [ 3 ] { 640 } } { \sqrt [ 3 ] { 10 } }$

Provide an appropriate response. - $\sqrt [ 3 ] { 4 } \cdot \sqrt { 2 }$

Add or subtract. - $7 \sqrt [ 3 ] { 2 } - 4 \sqrt { 8 } + 9 \sqrt [ 3 ] { 2 } + 2 \sqrt { 8 }$

Choose the one alternative that best completes the statement or answers the question. Multiply. Assume all variables represent nonnegative real numbers. - $\sqrt { 15 x ^ { 3 } } \cdot \sqrt { 15 x ^ { 5 } }$

Solve the problem. -The length of the diagonal of a rectangle is given by $\mathrm { D } = \sqrt { \mathrm { L } ^ { 2 } + \mathrm { W } ^ { 2 } }$

Add or subtract the complex numbers -(8 + 10i) - (2 + 5i) + (10 + 7i)