Square Root of 56/10 (√56/10)

Square Root of 56/10

The square root of 56/10 can either mean the square root of (56/10) or the square root of 56 divided by 10. These are different problems with potentially different answers.

Calculate √56/10
The square root of (56/10) is the same as the square root of 56 divided by the square root of 10. 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:

		√56
		√10

≈

		7.4833
		3.1623

≈ 2.3664

Alternatively, we first divide 56 by 10 and then do the square root of the quotient:

√56/10 = √5.6 ≈ 2.3664

Calculate √56/10
To calculate the square root of 56 divided by 10, you first take the square root of 56 and then divide that result by 10:

		√56
		10

≈

		7.4833
		10

≈ 0.7483

Square Root of a Fraction
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