Square Root of 47/19 (√47/19)

Square Root of 47/19

The square root of 47/19 can either mean the square root of (47/19) or the square root of 47 divided by 19. These are different problems with potentially different answers.

Calculate √47/19
The square root of (47/19) is the same as the square root of 47 divided by the square root of 19. 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
		√19

≈

		6.8557
		4.3589

≈ 1.5728

Alternatively, we first divide 47 by 19 and then do the square root of the quotient:

√47/19 ≈ √2.4737 ≈ 1.5728

Calculate √47/19
To calculate the square root of 47 divided by 19, you first take the square root of 47 and then divide that result by 19:

		√47
		19

≈

		6.8557
		19

≈ 0.3608

Square Root of a Fraction
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Square Root of 47/20
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