Square Root of 2/3 (√2/3)

Square Root of 2/3

The square root of 2/3 can either mean the square root of (2/3) or the square root of 2 divided by 3. These are different problems with potentially different answers.

Calculate √2/3
The square root of (2/3) is the same as the square root of 2 divided by the square root of 3. 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
		√3

≈

		1.4142
		1.7321

≈ 0.8165

Alternatively, we first divide 2 by 3 and then do the square root of the quotient:

√2/3 ≈ √0.6667 ≈ 0.8165

Calculate √2/3
To calculate the square root of 2 divided by 3, you first take the square root of 2 and then divide that result by 3:

		√2
		3

≈

		1.4142
		3

≈ 0.4714

Square Root of a Fraction
Please enter another fraction below to get the square root of that fraction two different ways like we did on this page.

Square Root of 2/4
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