Square Root of 82/23 (√82/23)

Square Root of 82/23

The square root of 82/23 can either mean the square root of (82/23) or the square root of 82 divided by 23. These are different problems with potentially different answers.

Calculate √82/23
The square root of (82/23) is the same as the square root of 82 divided by the square root of 23. 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
		√23

≈

		9.0554
		4.7958

≈ 1.8882

Alternatively, we first divide 82 by 23 and then do the square root of the quotient:

√82/23 ≈ √3.5652 ≈ 1.8882

Calculate √82/23
To calculate the square root of 82 divided by 23, you first take the square root of 82 and then divide that result by 23:

		√82
		23

≈

		9.0554
		23

≈ 0.3937

Square Root of a Fraction
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Square Root of 82/24
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