SOLUTION: I can't seem to figure this problem out. Need some serious help!
I am suppose to simplify the radical square root 54xy^7 over square root 6xy. Assume that all variables represent
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Question 152334This question is from textbook Intermediate Algebra
: I can't seem to figure this problem out. Need some serious help!
I am suppose to simplify the radical square root 54xy^7 over square root 6xy. Assume that all variables represent positive numbers.
I appreciate anybody that can help me.
This question is from textbook Intermediate Algebra
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Combine the roots.
Divide to get .
^{\frac{1}{2}})
Convert from radical notation to exponent notation.
^1y^6\right)^{\frac{1}{2}})
Rewrite 
as ^1)
.
^{\left(1\right)\left(\frac{1}{2}\right)}y^{\left(6\right)\left(\frac{1}{2}\right)})
Multiply the outer exponent by each of the inner exponents.
^{\frac{1}{2}}y^{3})
Multiply the exponents.
Convert back to radical notation
Take the square root of 9 to get 3
---------------------------------------------------
Answer:
So simplifies to
In other words, where every variable is positive, , and
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