Question

Simplify square root 90÷ square root 20​

Answer 1

Step-by-step explanation:

`(√(90) )/(√(20)) = \sqrt(90)/(20) = \sqrt{(9)/(2)} = (3)/(√(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