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| Math Central | Quandaries & Queries |
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Question from Lauren, a student: How do you solve square roots of fractions? Does the format change if it is either a proper or an improper fraction? Ex. the square root of 1/4 or the square roots of 80/25 |
Lauren,
You can use the fact that 
so 
For 80/25 you can apply the same technique or you could notice that 5 divides the numerator and denominator and hence write 80/25 = 16/5 before taking the square root of the numerator and denominator.
I hope this helps,
Penny
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