SOLUTION: please help to simplify 3 times the square root of a^7x^2 times the square root of ax^2 thank you

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Question 64836This question is from textbook An Incremental Development
: please help to simplify
3 times the square root of a^7x^2 times the square root of ax^2
thank you This question is from textbook An Incremental Development

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Method # 1
%28+3sqrt%28a%5E7x%5E2%29%2Asqrt%28ax%5E2%29+%29
%28+3sqrt%28a%5E3a%5E3a%5E1x%5E2%29%2Asqrt%28ax%5E2%29+%29 [factor the radicals]
.
%28+3a%5E3x%28sqrt%28a%29%29+%28x%28sqrt%28a%29%29%29+%29 [find the square root of each radical]
.
%28+3a%5E3x%5E2%28sqrt%28a%29%29+%28sqrt%28a%29%29+%29 [multiply]
.
%28+3a%5E3x%5E2%28a%29+%29 [the square of a square root equals the number under the radical sign]
.
%28+3a%5E4x%5E2+%29[simplify]
.
Method # 2
%28+3sqrt%28a%5E7x%5E2%29%2Asqrt%28ax%5E2%29+%29multiply the radicals]
%28+3sqrt%28a%5E8x%5E4%29%29+%29
%28+3a%5E4x%5E2%29+%29