Square Root of 83/33 (√83/33)

Square Root of 83/33

The square root of 83/33 can either mean the square root of (83/33) or the square root of 83 divided by 33. These are different problems with potentially different answers.

Calculate √83/33
The square root of (83/33) is the same as the square root of 83 divided by the square root of 33. 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:

		√83
		√33

≈

		9.1104
		5.7446

≈ 1.5859

Alternatively, we first divide 83 by 33 and then do the square root of the quotient:

√83/33 ≈ √2.5152 ≈ 1.5859

Calculate √83/33
To calculate the square root of 83 divided by 33, you first take the square root of 83 and then divide that result by 33:

		√83
		33

≈

		9.1104
		33

≈ 0.2761

Square Root of a Fraction
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Square Root of 83/34
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