Square Root of 4/39 (√4/39)

Square Root of 4/39

The square root of 4/39 can either mean the square root of (4/39) or the square root of 4 divided by 39. These are different problems with potentially different answers.

Calculate √4/39
The square root of (4/39) is the same as the square root of 4 divided by the square root of 39. 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:

		√4
		√39

≈

		2
		6.245

≈ 0.3203

Alternatively, we first divide 4 by 39 and then do the square root of the quotient:

√4/39 ≈ √0.1026 ≈ 0.3203

Calculate √4/39
To calculate the square root of 4 divided by 39, you first take the square root of 4 and then divide that result by 39:

		√4
		39

		2
		39

≈ 0.0513

Square Root of a Fraction
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Square Root of 4/40
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