Square Root of 47/4 (√47/4)

Square Root of 47/4

The square root of 47/4 can either mean the square root of (47/4) or the square root of 47 divided by 4. These are different problems with potentially different answers.

Calculate √47/4
The square root of (47/4) is the same as the square root of 47 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:

		√47
		√4

≈

		6.8557
		2

≈ 3.4278

Alternatively, we first divide 47 by 4 and then do the square root of the quotient:

√47/4 = √11.75 ≈ 3.4278

Calculate √47/4
To calculate the square root of 47 divided by 4, you first take the square root of 47 and then divide that result by 4:

		√47
		4

≈

		6.8557
		4

≈ 1.7139

Square Root of a Fraction
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