Question

Simplify square root 90÷ square root 20​

Answer 1

Answer:

Explanation:

$\frac{\sqrt{90} }{\sqrt{20}} = \sqrt\frac{90}{20} = \sqrt{\frac{9}{2}} = \frac{3}{\sqrt{2} }$

Now for some explanations.

• sqrt(90)/sqrt(20) can be put under 1 square root sign.
• When you do that, 10 divides into both numerator and denominator.
• The sqrt(9) = 3
• The square root of 2 cannot be reduced, but you can rationalize it by multiplying top and bottom by sqrt(2)

3 sqrt(2)

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sqrt(2)*sqrt(2)

Answer

3 * sqrt(2)

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2