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OpenStudy (pinksapphire):
How would you do this?
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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
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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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