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Simplify the following

 

(a) \(\sqrt{147a^4}\)

 

(b) \(\sqrt{80n}\)

 

(c) \(-7 \sqrt{75x^4}\)

 Jul 19, 2020
 #1
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(a) we can first note that 147 is divisible by 49 (7*7*3) and a^4 can come out a^2 so out of the square root comes 7a^2. Your answer is \(\boxed{7a^2\sqrt3}\)

(b) 80 is divisible by 16 (4*4*5) so the answer is \(\boxed{4\sqrt{5n}}\)

(c) 75 is divisible by 25 (5*5*3) and x^4 can come out x^2 so your answer is (don't forget the -7) \(\boxed{-35x^2\sqrt{3}}\)

 Jul 19, 2020

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