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Finding Square of a Number Using Identity

simplify 9√5...

Question

simplify
$9 \sqrt{5} - 4 \sqrt{5} + \sqrt{125}$

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Solution

$9 \sqrt{5} - 4 \sqrt{5} + \sqrt{125}$
$= 5 \sqrt{5} + \sqrt{25 \times 5}$
$= 5 \sqrt{5} + 5 \sqrt{5}$
$= 10 \sqrt{5}$

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