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Question 36542: Simplify (2sqrt3x)^4
Answer by vidhyak(98)   (Show Source):
You can put this solution on YOUR website! (2sqrt3x)^4
(2)^4 * (sqrt3x)^4
16 * sqrt3x * sqrt3x * sqrt3x * sqrt3x
As sqrt3x * sqrt3x = 3x
16 * 3x * 3x
144(x^2)
As you had requested me to explain the last 2 lines, i will give an example
a^2 = a * a
sqrt(a^2)= sqrt(a)*sqrt(a)
sqrt(a^2)= sqrt(a*a)
sqrt(a^2)= a
The square and the sqaure root cancel each other resulting in "a"
Similarily
sqrt3x * sqrt3x * sqrt3x * sqrt3x
sqrt(3x * 3x)* sqrt(3x * 3x)
3x *3x
I hope it is clear now.
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