Square Root of 37/10 (√37/10)

Square Root of 37/10

The square root of 37/10 can either mean the square root of (37/10) or the square root of 37 divided by 10. These are different problems with potentially different answers.

Calculate √37/10
The square root of (37/10) is the same as the square root of 37 divided by the square root of 10. You can divide the fraction inside the radical before or after you calculate the square root. The result will be the same.

Here we first calculate the square root of the numerator and the square root of the denominator separately, and then we divide the two:

		√37
		√10

≈

		6.0828
		3.1623

≈ 1.9235

Alternatively, we first divide 37 by 10 and then do the square root of the quotient:

√37/10 = √3.7 ≈ 1.9235

Calculate √37/10
To calculate the square root of 37 divided by 10, you first take the square root of 37 and then divide that result by 10:

		√37
		10

≈

		6.0828
		10

≈ 0.6083

Square Root of a Fraction
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Square Root of 37/11
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