#### Simplify radical expressions involving fractions

Anonymous

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Sangeetha Pulapaka

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STEP 1: Recall what is a radical expression

https://study.com/academy/lesson/radical-expression-definition-examples-quiz.html

STEP 2: Recall what are prime factors of a number

https://www.mathsisfun.com/definitions/prime-factor.html

STEP 3: Recall how to find prime factorisation of a number

STEP 4 : Recall what are fractions

http://www.softschools.com/math/topics/fractions/

STEP 5: Simplify a radical expression involving fractions

Consider a radical expression \sqrt{\frac{10}{9}}

Take the prime factors of 10 and 9 we get

\sqrt{\frac{2.5}{3.3}}

We get \frac{\sqrt{10}}{3}

This is our simplified expression