Square Root of 82/81 (√82/81)

Square Root of 82/81

The square root of 82/81 can either mean the square root of (82/81) or the square root of 82 divided by 81. These are different problems with potentially different answers.

Calculate √82/81
The square root of (82/81) is the same as the square root of 82 divided by the square root of 81. 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
		√81

≈

		9.0554
		9

≈ 1.0062

Alternatively, we first divide 82 by 81 and then do the square root of the quotient:

√82/81 ≈ √1.0123 ≈ 1.0062

Calculate √82/81
To calculate the square root of 82 divided by 81, you first take the square root of 82 and then divide that result by 81:

		√82
		81

≈

		9.0554
		81

≈ 0.1118

Square Root of a Fraction
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Square Root of 82/82
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