Square Root of 21/83 (√21/83)

Square Root of 21/83

The square root of 21/83 can either mean the square root of (21/83) or the square root of 21 divided by 83. These are different problems with potentially different answers.

Calculate √21/83
The square root of (21/83) is the same as the square root of 21 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:

		√21
		√83

≈

		4.5826
		9.1104

≈ 0.503

Alternatively, we first divide 21 by 83 and then do the square root of the quotient:

√21/83 ≈ √0.253 ≈ 0.503

Calculate √21/83
To calculate the square root of 21 divided by 83, you first take the square root of 21 and then divide that result by 83:

		√21
		83

≈

		4.5826
		83

≈ 0.0552

Square Root of a Fraction
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Square Root of 21/84
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