Question

Evaluate the following: 

\[\left\{ ( 6^2 + 8^2 )^{1/2} \right\}^3\]

 

Answer 1

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

\[\left\{ \left( 6^2 + 8^2 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \left( 36 + 64 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \left( 100 \right)^{1/2} \right\}^3 \]
\[ = \left\{ \sqrt{\left( 100 \right)} \right\}^3 \]
\[ = \left\{ \sqrt{10 \times 10} \right\}^3 \]
\[ = \left\{ 10 \right\}^3 = 10 \times 10 \times 10 = 1000\]