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Mathematics 19 Online
OpenStudy (pinksapphire):

How would you do this?

OpenStudy (pinksapphire):

Look for perfect squares. Split them up first. Multiply answer with any values already outside radical. \[2\sqrt{20xy^2}\]

OpenStudy (amistre64):

break it down into its constituent parts .... the primes then gather up all the elements that are in pairs.

OpenStudy (amistre64):

\[2\sqrt{20xy^2}\] \[2\sqrt{2.2.5~xyy}\] \[2\sqrt{2.2}\sqrt{5~x}\sqrt{yy}\] \[2.2.y\sqrt{5~x}\]

OpenStudy (pinksapphire):

Okay thanks :) I got it right but I did it differently...how did you get 2.2.5?

OpenStudy (amistre64):

20 = 4.5 = 2.2.5

OpenStudy (amistre64):

broke it into its prime factors is all

OpenStudy (pinksapphire):

Okay now I see what you did...thanks :)

OpenStudy (amistre64):

spose we had a perfect square that we just didnt know what a perfect square .... the prime factors would then be useful to pair up is all

OpenStudy (amistre64):

perhaps we tried: 10.2 no perfects there 5.2.2 now we have a pair :) but yeah, your way was fine

OpenStudy (pinksapphire):

Okay :)

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