Square Root of 85/14 (√85/14)

Square Root of 85/14

The square root of 85/14 can either mean the square root of (85/14) or the square root of 85 divided by 14. These are different problems with potentially different answers.

Calculate √85/14
The square root of (85/14) is the same as the square root of 85 divided by the square root of 14. 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:

		√85
		√14

≈

		9.2195
		3.7417

≈ 2.464

Alternatively, we first divide 85 by 14 and then do the square root of the quotient:

√85/14 ≈ √6.0714 ≈ 2.464

Calculate √85/14
To calculate the square root of 85 divided by 14, you first take the square root of 85 and then divide that result by 14:

		√85
		14

≈

		9.2195
		14

≈ 0.6585

Square Root of a Fraction
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