Square Root of 2/50 (√2/50)

Square Root of 2/50

The square root of 2/50 can either mean the square root of (2/50) or the square root of 2 divided by 50. These are different problems with potentially different answers.

Calculate √2/50
The square root of (2/50) is the same as the square root of 2 divided by the square root of 50. 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:

		√2
		√50

≈

		1.4142
		7.0711

= 0.2

Alternatively, we first divide 2 by 50 and then do the square root of the quotient:

√2/50 = √0.04 = 0.2

Calculate √2/50
To calculate the square root of 2 divided by 50, you first take the square root of 2 and then divide that result by 50:

		√2
		50

≈

		1.4142
		50

≈ 0.0283

Square Root of a Fraction
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Square Root of 2/51
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