Square Root of 2/13 (√2/13)

Square Root of 2/13

The square root of 2/13 can either mean the square root of (2/13) or the square root of 2 divided by 13. These are different problems with potentially different answers.

Calculate √2/13
The square root of (2/13) is the same as the square root of 2 divided by the square root of 13. 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:

		√2
		√13

≈

		1.4142
		3.6056

≈ 0.3922

Alternatively, we first divide 2 by 13 and then do the square root of the quotient:

√2/13 ≈ √0.1538 ≈ 0.3922

Calculate √2/13
To calculate the square root of 2 divided by 13, you first take the square root of 2 and then divide that result by 13:

		√2
		13

≈

		1.4142
		13

≈ 0.1088

Square Root of a Fraction
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Square Root of 2/14
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