Question

Evaluate the following: 

\[\left\{ ( 5^2 + {12}^2 )^{1/2} \right\}^3\]

 

Answer 1

To evaluate the value of the given expression, we can proceed as follows:

\[\left\{ \left( 5^2 + {12}^2 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \left( 25 + 144 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \left( 169 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \sqrt{\left( 169 \right)} \right\}^3 \]
\[ = \left\{ \sqrt{13 \times 13} \right\}^3 \]
\[ = \left\{ 13 \right\}^3 \]
\[ = 13 \times 13 \times 13 = 2197\]