Square Root of 84/33 (√84/33)

Square Root of 84/33

The square root of 84/33 can either mean the square root of (84/33) or the square root of 84 divided by 33. These are different problems with potentially different answers.

Calculate √84/33
The square root of (84/33) is the same as the square root of 84 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:

		√84
		√33

≈

		9.1652
		5.7446

≈ 1.5954

Alternatively, we first divide 84 by 33 and then do the square root of the quotient:

√84/33 ≈ √2.5455 ≈ 1.5954

Calculate √84/33
To calculate the square root of 84 divided by 33, you first take the square root of 84 and then divide that result by 33:

		√84
		33

≈

		9.1652
		33

≈ 0.2777

Square Root of a Fraction
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Square Root of 84/34
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