Square root of a Fraction
To find the square root of a mixed fraction, convert it into a improper fraction. The square root of a proper or improper fraction is given by the following formula-
Square root of Numerator
The square root of a fraction = -----------------------------
Square root of Denominator
Example.–
1) Find the square root of fraction √25/144
√25 √ 5 X 5 5
√ 25/144 = --------- = ------------ = --------- = 5/12
√144 √ 12 X 12 12
2) Find the square root of fraction √49/169
√49 √ 7 X 7 7
√ 49/169 = --------- = ------------- = ------- = 7/13
√169 √ 13 X 13 13
3) Find the square root of fraction √144/625
√144 √12 X 12 12
√144/625 = --------- = ------------ = -------- = 12/25
√625 √25 X 25 25