SOLUTION: Simplify 4√16x^3y^2 -5y√4x^3 Thank you.
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Question 176405: Simplify 4√16x^3y^2 -5y√4x^3 Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To simplify this expression, we need to simplify the individual radicals.
Let's simplify
Start with the given expression.
Factor to get
Break up the square root.
Take the square root of 16 to get 4
Take the square root of to get
Take the square root of to get
Rearrange the terms.
So where every variable is positive.
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Now let's simplify
Start with the given expression.
Factor to get
Break up the square root.
Take the square root of 4 to get 2
Take the square root of to get
So where "x" is positive.
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Since and (where every variable is positive), this means that
simplifies to
Multiply 4 and 4xy to get 16xy
Multiply 5y and 2x to get 10xy
Factor out the GCF
Combine like terms
Rearrange the terms
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Answer:
So where every variable is positive.
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