Square Root of 49/92 (√49/92)

Square Root of 49/92

The square root of 49/92 can either mean the square root of (49/92) or the square root of 49 divided by 92. These are different problems with potentially different answers.

Calculate √49/92
The square root of (49/92) is the same as the square root of 49 divided by the square root of 92. 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:

		√49
		√92

≈

		7
		9.5917

≈ 0.7298

Alternatively, we first divide 49 by 92 and then do the square root of the quotient:

√49/92 ≈ √0.5326 ≈ 0.7298

Calculate √49/92
To calculate the square root of 49 divided by 92, you first take the square root of 49 and then divide that result by 92:

		√49
		92

		7
		92

≈ 0.0761

Square Root of a Fraction
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Square Root of 49/93
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