How do you take the square root of a fraction?

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How do you take the square root of a fraction?

2006-07-02 07:26:06 · 2 answers · asked by ashton_baby00 2 in Education & Reference ➔ Higher Education (University +)

2 answers

Split the top and bottom into the root of the top and the root of the bottom. Then, multiply top and bottom by the bottom (to keep the fraction rational).

ex. [^-2 means square root]

(2/5)^-2 = (2^-2)/(5^-2)

neither 2 or 5 has a rational square root, and u can't leave a fraction as irrational so...

(2^-2)/(5^-2) = (2^-2)(5^-2)/ 5

2006-07-02 07:40:06 · answer #1 · answered by Mikey C 5 · 0⤊ 0⤋

Take the square root of the numerator, and divide by the square root of the denominator.

2006-07-02 14:30:28 · answer #2 · answered by fcas80 7 · 0⤊ 0⤋