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Operations on Rational and Irrational Numbers

Simplify the ...

Question

Simplify the following :
$2 \sqrt{5} + \sqrt{125}$

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Solution

$\begin{matrix} G i v e n, 2 \sqrt{5} + \sqrt{125} N o w, 2 \sqrt{5} + \sqrt{125} \sqrt{125} = 5 \sqrt{5} = 2 \sqrt{5} + 5 \sqrt{5} A d d s i m i l a r e l e m e n t s : 2 \sqrt{5} + 5 \sqrt{5} = 7 \sqrt{5} = 7 \sqrt{5} \end{matrix}$

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