Square Root of 84/4 (√84/4)

Square Root of 84/4

The square root of 84/4 can either mean the square root of (84/4) or the square root of 84 divided by 4. These are different problems with potentially different answers.

Calculate √84/4
The square root of (84/4) is the same as the square root of 84 divided by the square root of 4. 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
		√4

≈

		9.1652
		2

≈ 4.5826

Alternatively, we first divide 84 by 4 and then do the square root of the quotient:

√84/4 = √21 ≈ 4.5826

Calculate √84/4
To calculate the square root of 84 divided by 4, you first take the square root of 84 and then divide that result by 4:

		√84
		4

≈

		9.1652
		4

≈ 2.2913

Square Root of a Fraction
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