SOLUTION: can u show steps √128x5y2

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Question 638064: can u show steps
√128x5y2

Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28128%2A5y%5E2%29
First find the squares of 128, by determining what numbers that are squares, multiply to give you 128:
16 is a square and goes into 128 8 times:
16*8 = 128
8 also contains a square, because 4*2=8, and 4 is a square number:
16*4*2 = 128
now, break down the 5y^2, so that square root looks like this:
sqrt%2816%2A4%2A2%2A5%2Ay%5E2%29
Take the square root of each of our square numbers, put them on the outside of the square root and multiply them together:
4%2A2%2Asqrt%282%2A5%2Ay%5E2%29
8%2Asqrt%2810y%5E2%29
Note: the square root of a variable squared, ie sqrt%28x%5E2%29 is the absolute value of that variable, so, your final answer is:
8%2Aabs%28y%29%2Asqrt%2810%29