The square root of 20/41 can either mean the square root of (20/41) or the square root of 20 divided by 41. These are different problems with potentially different answers.
Calculate √20/41
The square root of (20/41) is the same as the square root of 20 divided by the square root of 41. 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:
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≈ 0.6984 |
Alternatively, we first divide 20 by 41 and then do the square root of the quotient:
√20/41 ≈ √0.4878 ≈ 0.6984
Calculate √20/41
To calculate the square root of 20 divided by 41, you first take the square root of 20 and then divide that result by 41:
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≈ 0.1091 |
Square Root of a Fraction
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Square Root of 20/42
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