Square Root of 32/83 (√32/83)

Square Root of 32/83

The square root of 32/83 can either mean the square root of (32/83) or the square root of 32 divided by 83. These are different problems with potentially different answers.

Calculate √32/83
The square root of (32/83) is the same as the square root of 32 divided by the square root of 83. 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:

		√32
		√83

≈

		5.6569
		9.1104

≈ 0.6209

Alternatively, we first divide 32 by 83 and then do the square root of the quotient:

√32/83 ≈ √0.3855 ≈ 0.6209

Calculate √32/83
To calculate the square root of 32 divided by 83, you first take the square root of 32 and then divide that result by 83:

		√32
		83

≈

		5.6569
		83

≈ 0.0682

Square Root of a Fraction
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Square Root of 32/84
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