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Question 1152302: Simplify square root of 750x^24
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! sqrt(750 * x^24) becomes:
sqrt(10 * 75 * (x^12)^2) which becomes:
sqrt(10 * 3 * 5^2 * (x^12)^2) which becomes:
5 * x^12 * sqrt(30)
i don't think it can be simplified further than that.
to verify, give a random value to x that can be tolerated by your calculator, such as 3, and evaluate the original expression and the final expression to see that they give you the same answer.
sqrt(750 * 3^24) = 14554111.18
5 * 3^12 * sqrt(30) = 14554111.18
the answers are the same, so the simplification appears to be good.
the simplified expression is:
5 * x^12 * sqrt(30)
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