Square Root of 82/21 (√82/21)

Square Root of 82/21

The square root of 82/21 can either mean the square root of (82/21) or the square root of 82 divided by 21. These are different problems with potentially different answers.

Calculate √82/21
The square root of (82/21) is the same as the square root of 82 divided by the square root of 21. 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
		√21

≈

		9.0554
		4.5826

≈ 1.976

Alternatively, we first divide 82 by 21 and then do the square root of the quotient:

√82/21 ≈ √3.9048 ≈ 1.976

Calculate √82/21
To calculate the square root of 82 divided by 21, you first take the square root of 82 and then divide that result by 21:

		√82
		21

≈

		9.0554
		21

≈ 0.4312

Square Root of a Fraction
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Square Root of 82/22
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