Square Root of 43/14 (√43/14)

Square Root of 43/14

The square root of 43/14 can either mean the square root of (43/14) or the square root of 43 divided by 14. These are different problems with potentially different answers.

Calculate √43/14
The square root of (43/14) is the same as the square root of 43 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:

		√43
		√14

≈

		6.5574
		3.7417

≈ 1.7525

Alternatively, we first divide 43 by 14 and then do the square root of the quotient:

√43/14 ≈ √3.0714 ≈ 1.7525

Calculate √43/14
To calculate the square root of 43 divided by 14, you first take the square root of 43 and then divide that result by 14:

		√43
		14

≈

		6.5574
		14

≈ 0.4684

Square Root of a Fraction
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