Question

Simplify 3 root 5 + minus root 5 + root 180

Answer 1

3√5+(-√5)+√180
=> 3√5 - √5 +√180
=>2√5+√2*2*3*3*5
=>2√5+2*3√5
=>2√5+ 6√5
=8√5 ans..

Answer 2

The value of $3\sqrt{5} +(-\sqrt{5} )+\sqrt{180}$ is $8\sqrt{5}$.

Step-by-step explanation:

It is required to simplify $3\sqrt{5} +(-\sqrt{5} )+\sqrt{180}$.

We know that,

$\sqrt{180} =\sqrt{2\times 3\times 3\times 2\times 5}$

Using in above equation such that :

$3\sqrt{5} +(-\sqrt{5} )+\sqrt{180}\\\\=3\sqrt{5} +(-\sqrt{5} )+\sqrt{2\times 3\times 3\times 2\times 5}\\\\=3\sqrt{5} +(-\sqrt{5} )+6\sqrt{5} \\\\=8\sqrt{5}$

So, the value of $3\sqrt{5} +(-\sqrt{5} )+\sqrt{180}$ is $8\sqrt{5}$.

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Simplification