Question

Evaluate the following:

(i) {(5² + 12²)^1/2}³

(ii) {(6² + 8²)^1/2}³

Answer 1

(i) \(\{(5^2 + 12^2)^{1/2}\}^3\)

After solving we get,

\(\{(25 + 144)^{1/2}\}^3\) = \(\{(13^2)^{1/2}\}^3\) = {13}³ = 2197

(ii)  \(\{(6^2 + 8^2)^{1/2}\}^3\)

After solving we get;

\(\{(25 + 144)^{1/2}\}^3\) = \(\{(100)^{1/2}\}^3\) = \(\{(10^2)^{1/2}\}^3\) = \({\{10}\}^3\) = \(1000\)