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TSI Math: Understanding Which Operations Can Help Simplify Square Roots 20 Views


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Transcript

00:02

Okay sy shmoop er's next up in these ugly square

00:04

root problems Alright what squared A forty five minute squared

00:07

of twenty What Multiplication division signs can go in and

00:15

out of square roots but addition and subtraction signs cannot

00:19

think of it as what happens in vegas stays in

00:22

vegas except with more man We need to do something

00:24

with the given expression however so start by simplifying each

00:27

square root Well first we have screwed a forty five

00:29

and factor the perfect square nine there from forty five

00:33

and we get screwed in nine times Five is three

00:35

times square Two five all right do the same with

00:36

twenty which has perfect square four innit Right Four times

00:39

five twenty mean square root of four times five or

00:41

to times square to five Now both squares could be

00:44

written as a multiple of the square root of five

00:46

So just subtract multiples of square to five it's just

00:49

like subtracting multiples of x And we get three times

00:52

square to five minus two times square to five which

00:55

is just the square root of five And so there

00:58

we have it Grow to forty five minus square twenty

01:00

is just the square root of five that's it We're 00:01:02.963 --> [endTime] done its egg

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