Question

Evaluate ${\left({17}^2-8^2\right)}^{\frac{1}{2}}$

Answer 1

Evaluate

${({17}^2-8^2)}^{\frac{1}{2}}$

$\Rightarrow \sqrt{({17}^2-8^2)}$

$\Rightarrow \sqrt{(17+8)(17-8)}$

$\Rightarrow \sqrt{25\times 9}$

$\Rightarrow \sqrt{5\times 5\times 3\times 3}$

$\Rightarrow 5\times 3$

$\Rightarrow 15$

Hence, this is the answer.