Square Root of 84/27 (√84/27)

Square Root of 84/27

The square root of 84/27 can either mean the square root of (84/27) or the square root of 84 divided by 27. These are different problems with potentially different answers.

Calculate √84/27
The square root of (84/27) is the same as the square root of 84 divided by the square root of 27. 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
		√27

≈

		9.1652
		5.1962

≈ 1.7638

Alternatively, we first divide 84 by 27 and then do the square root of the quotient:

√84/27 ≈ √3.1111 ≈ 1.7638

Calculate √84/27
To calculate the square root of 84 divided by 27, you first take the square root of 84 and then divide that result by 27:

		√84
		27

≈

		9.1652
		27

≈ 0.3395

Square Root of a Fraction
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Square Root of 84/28
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