How do you solve #\sqrt { \frac { 400p ^ { 8} } { 25q ^ { 4} } }#?

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Answer 1 · 2016-11-13T23:04:45

#(4p^4)/q^2#

Step 1) Simplify #(400/25)# which is #16#

#sqrt((16p^8)/q^4)#

Step 1) Separate the factors within the square root

#(sqrt(16)sqrt(p8))/(sqrt(q4))#

#(sqrt(4*4)sqrt(p8))/(sqrt(q4))#

Step 3) Simplify:

#(4p^(8/2))/q^(4/2)#

#(4p^4)/q^2#