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

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Solution

Using this formula
$a^{2} - b^{2} = (a - b) (a + b) 17^{2} - 8^{2} = (17 - 8) (17 + 8) = 25 \times 9 = 5^{2} \times 3^{2} ({17^{2} - 8^{2})}^{\frac{1}{2}} = 15$

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