Square Root of 63/4 (√63/4)

Square Root of 63/4

The square root of 63/4 can either mean the square root of (63/4) or the square root of 63 divided by 4. These are different problems with potentially different answers.

Calculate √63/4
The square root of (63/4) is the same as the square root of 63 divided by the square root of 4. 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:

		√63
		√4

≈

		7.9373
		2

≈ 3.9686

Alternatively, we first divide 63 by 4 and then do the square root of the quotient:

√63/4 = √15.75 ≈ 3.9686

Calculate √63/4
To calculate the square root of 63 divided by 4, you first take the square root of 63 and then divide that result by 4:

		√63
		4

≈

		7.9373
		4

≈ 1.9843

Square Root of a Fraction
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