Square Root of 16/22 (√16/22)

Square Root of 16/22

The square root of 16/22 can either mean the square root of (16/22) or the square root of 16 divided by 22. These are different problems with potentially different answers.

Calculate √16/22
The square root of (16/22) is the same as the square root of 16 divided by the square root of 22. 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:

		√16
		√22

≈

		4
		4.6904

≈ 0.8528

Alternatively, we first divide 16 by 22 and then do the square root of the quotient:

√16/22 ≈ √0.7273 ≈ 0.8528

Calculate √16/22
To calculate the square root of 16 divided by 22, you first take the square root of 16 and then divide that result by 22:

		√16
		22

		4
		22

≈ 0.1818

Square Root of a Fraction
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Square Root of 16/23
Here is the next fraction on our list that we have calculated the square root of.