Square Root of 84/89 (√84/89)

Square Root of 84/89

The square root of 84/89 can either mean the square root of (84/89) or the square root of 84 divided by 89. These are different problems with potentially different answers.

Calculate √84/89
The square root of (84/89) is the same as the square root of 84 divided by the square root of 89. 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
		√89

≈

		9.1652
		9.434

≈ 0.9715

Alternatively, we first divide 84 by 89 and then do the square root of the quotient:

√84/89 ≈ √0.9438 ≈ 0.9715

Calculate √84/89
To calculate the square root of 84 divided by 89, you first take the square root of 84 and then divide that result by 89:

		√84
		89

≈

		9.1652
		89

≈ 0.103

Square Root of a Fraction
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Square Root of 84/90
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