Find the Length of the Vector $2 a + 3 b$

Multiple Choice

Find the length of the vector $2 a + 3 b$ , where $\mathbf { a } = \langle 1,1 \rangle$ and $\mathbf { b } = \langle - 1,2 \rangle$ .

A) $\sqrt { 51 }$
B) $\sqrt { 53 }$
C) $\sqrt { 57 }$
D) $\sqrt { 65 }$
E) $\sqrt { 71 }$
F) $\sqrt { 73 }$
G) $\sqrt { 82 }$
H) $\sqrt { 87 }$