Question

simplify 2√45+3√20+10√125 /2√5
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Answer 1

Answer:

sorry if any mistake in solution

Answer 2

$\frac{2\sqrt{45}+3\sqrt{20}+10\sqrt{125}}{2\sqrt{5}}=31$

Step-by-step explanation:

Given : Expression $\frac{2\sqrt{45}+3\sqrt{20}+10\sqrt{125}}{2\sqrt{5}}$

To find : Simplify the expression ?

Solution :

Expression $\frac{2\sqrt{45}+3\sqrt{20}+10\sqrt{125}}{2\sqrt{5}}$

Opening the roots first,

$=\frac{2\times 3\sqrt{5}+3\times 2\sqrt{5}+10\times 5\sqrt{5}}{2\sqrt{5}}$

$=\frac{\sqrt{5}(6+6+50)}{2\sqrt{5}}$

$=\frac{62}{2}$

$=31$

Therefore, $\frac{2\sqrt{45}+3\sqrt{20}+10\sqrt{125}}{2\sqrt{5}}=31$

#Learn more

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