SOLUTION: Simplify the following expression. All variables represent positive real numbers
2√20x+3√80x-6√125x
I don't know how to do this.
Algebra.Com
Question 737441: Simplify the following expression. All variables represent positive real numbers
2√20x+3√80x-6√125x
I don't know how to do this.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
first remember that the sqrt (x*y) = sqrt (x) * sqrt (y)
we are given
2*sqrt(20*x) + sqrt(80*x) - 6*sqrt(125*x) NOTE that I assume you meant for the x variable to be within the sqrt sign
using the rule of multiplying sqrt's above, we get
2*sqrt(20)* sqrt(x) + 3*sqrt(80)*sqrt(x)-6*sqrt(125)*sqrt(x)
evaluate the sqrt's of the real numbers, we get
2*4.47*sqrt(x) + 3*8.94*sqrt(x) - 6*11.18*sqrt(x)
multiply the real numbers, we get
8.94sqrt(x) + 26.82sqrt(x) - 67.08sqrt(x)
combine the like terms and we get
-31.32sqrt(x)
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