# ACT Aspire Math: Simplifying a Fraction Involving Square Roots

What is the simplified form of the expression ?

ACT Aspire | Math |

ACT Aspire Math | Expressions & Equations |

Math | Expressions & Equations |

Product Type | ACT Aspire |

Test Prep | ACT Aspire ACT Aspire Math |

### Transcript

a bunch of roots who are total squares Let's free

some of these numbers from this gang and see if

we can simplify the world aren't fun square roots of

fifty x cubed and thirty two x the fifth We

got a factor out perfect squares So what does that

give us Fifty x cube is the same as twenty

five x squared times Two acts which is the same

as the quantity five x squared times to act So

that's how that one should look And then thirty two

x a fifth while that's the same ass Sixteen x

to the fourth times two times act And that's the

same as quantity for x squared times Two acts All

right well we just rewrite the original expression using these

factories ation things and pull out the perfect squares So

we've got square with twenty five x squared times square

two Acts over us Grow 2:60 next four times to

act and then that gets us while five x times

the square to x over forks Weird times square two

acts well next week and simplify this fraction by canceling

factors common to the numerator and denominator starting with the

square root of two x there and then x which

gets us five acts over for x squared and then

we'll weaken taken x out of there factoring ex outs

that just gets us five over for ex Finally that's 00:01:31.081 --> [endTime] it The answer is b