Consider the given expression, #10; #10; #10; #10; #160; ( #10;17^2 8^2)^12=√(( 17^2 8^2 #10;)) #10; #10; #160; #10;=√(289 64)=√( ...

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Laws of Exponents for Real Numbers

Evaluate 17...

Question

Evaluate
${(17^{2} - 8^{2})}^{1 / 2}$

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Solution

Consider the given expression,

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

$= \sqrt{289 - 64} = \sqrt{225} = \sqrt{15^{2}}$

$= 15$

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