SOLUTION: perform the multiplications and simplify. assume all variables represent positive numbers. square root 2 parenthesis 2 times square root of 10 plus square root of 40 parenthesis

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Question 162051: perform the multiplications and simplify. assume all variables represent positive numbers.
square root 2 parenthesis 2 times square root of 10 plus square root of 40 parenthesis?
first i factores square root 2 into the parenthesis, then simplified it and got an answer of 4 root 20 is that right?
Answer by schrammbledeggs(41) (Show Source):
You can put this solution on YOUR website!
Well square root of 40 = square root of 4 * square root of 10...square root of 4 = 2...

So now you have square root 2 (2* square root 10 + 2* square root 10)

Simplified:

Square root 2 (4 * square root 10)
Multiply the square root 2 and the square root 10...
Final answer = 4 * square root 20
So you are correct :)