1.

Evaluate the following:(i) {(52 + 122)1/2}3(ii) {(62 + 82)1/2}3

Answer»

(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;

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



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