SOLUTION: for all x > or equal to y > or equal to, the sqaure root of 250x9y4 The computer program i am using for compass practice says to find the square root of x9 which is x4 times the

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Question 246704: for all x > or equal to y > or equal to, the sqaure root of 250x9y4
The computer program i am using for compass practice says to find the square root of x9 which is x4 times the square root of x. they then say that it is equal to 5x4 times y4 times the square root of 10x. why is this so? I don't understand why they are equal....
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Factor into


Factor into


Factor into


Break up the square root using the identity .


Take the square root of to get .


Take the square root of to get .


Take the square root of to get .


Rearrange and multiply the terms.

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Answer:


So simplifies to


In other words, where every variable is non-negative.
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