Square Root of 50/51 (√50/51)

Square Root of 50/51

The square root of 50/51 can either mean the square root of (50/51) or the square root of 50 divided by 51. These are different problems with potentially different answers.

Calculate √50/51
The square root of (50/51) is the same as the square root of 50 divided by the square root of 51. 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:

		√50
		√51

≈

		7.0711
		7.1414

≈ 0.9901

Alternatively, we first divide 50 by 51 and then do the square root of the quotient:

√50/51 ≈ √0.9804 ≈ 0.9901

Calculate √50/51
To calculate the square root of 50 divided by 51, you first take the square root of 50 and then divide that result by 51:

		√50
		51

≈

		7.0711
		51

≈ 0.1386

Square Root of a Fraction
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Square Root of 50/52
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