Square Root of 82/31 (√82/31)

Square Root of 82/31

The square root of 82/31 can either mean the square root of (82/31) or the square root of 82 divided by 31. These are different problems with potentially different answers.

Calculate √82/31
The square root of (82/31) is the same as the square root of 82 divided by the square root of 31. 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:

		√82
		√31

≈

		9.0554
		5.5678

≈ 1.6264

Alternatively, we first divide 82 by 31 and then do the square root of the quotient:

√82/31 ≈ √2.6452 ≈ 1.6264

Calculate √82/31
To calculate the square root of 82 divided by 31, you first take the square root of 82 and then divide that result by 31:

		√82
		31

≈

		9.0554
		31

≈ 0.2921

Square Root of a Fraction
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Square Root of 82/32
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