Square Root of 53/60 (√53/60)

Square Root of 53/60

The square root of 53/60 can either mean the square root of (53/60) or the square root of 53 divided by 60. These are different problems with potentially different answers.

Calculate √53/60
The square root of (53/60) is the same as the square root of 53 divided by the square root of 60. 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:

		√53
		√60

≈

		7.2801
		7.746

≈ 0.9399

Alternatively, we first divide 53 by 60 and then do the square root of the quotient:

√53/60 ≈ √0.8833 ≈ 0.9399

Calculate √53/60
To calculate the square root of 53 divided by 60, you first take the square root of 53 and then divide that result by 60:

		√53
		60

≈

		7.2801
		60

≈ 0.1213

Square Root of a Fraction
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