Question

SIMPLIFY √75 + √108


Answer step by step

Answer 1

Heya there !!!
Here is the answer you were looking for:
$\sqrt{75} + \sqrt{108} \\ \\ = \sqrt{5 \times 5 \times 3} + \sqrt{2 \times 2 \times 3 \times 3 \times 3} \\ \\ = \sqrt{ {5}^{2} \times 3 } + \sqrt{ {2}^{2} \times {3}^{2} \times 3 } \\ \\ = 5 \sqrt{3} + 2 \times 3 \sqrt{3} \\ \\ = 5 \sqrt{3} + 6 \sqrt{3} \\ \\ = 11 \sqrt{3}$

Hope this helps!!!

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@Mahak24

Thanks...
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