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Okay Mass shmoop er's we've got another drill for you

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Here we go What is the simplified form of the

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expression Square root of fifty x cubed over square root

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of thirty two x to the fifth All right well

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let's think about this Nothing's worse than being stuck with

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

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some of these numbers from this gang and see if

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

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fifty x cubed and thirty two x the fifth We

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got a factor out perfect squares So what does that

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give us Fifty x cube is the same as twenty

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five x squared times Two acts which is the same

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as the quantity five x squared times to act So

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

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

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

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same as quantity for x squared times Two acts All

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right well we just rewrite the original expression using these

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factories ation things and pull out the perfect squares So

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

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

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act and then that gets us while five x times

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the square to x over forks Weird times square two

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acts well next week and simplify this fraction by canceling

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factors common to the numerator and denominator starting with the

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square root of two x there and then x which

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gets us five acts over for x squared and then

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

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

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