SOLUTION: How would yiou simplify the following (assuming that the value of each variable is positive):
(30x^3)^(1/2)∙√6x^5y^2z^3
I have a test tomorrow and myself and mo
Algebra.Com
Question 176930: How would yiou simplify the following (assuming that the value of each variable is positive):
(30x^3)^(1/2)∙√6x^5y^2z^3
I have a test tomorrow and myself and most of the people in my algebra class are still extremely confused. Please, please, please, help me with this and explain in full detail if possible! You're help would be very much appreciated!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.
Convert to radical notation
Combine the roots using the identity
Multiply
Factor 180 into (note: one factor is a perfect square)
Factor into (note: the goal is to get "x" with an exponent of 2)
Factor into
Break up the square root.
Take the square root of 36 to get 6
Take the square root of to get
Take the square root of to get
Take the square root of to get
Multiply
Recombine the roots.
===============================================================
Answer:
So the expression
completely simplifies to
In other words,
where every variable is positive.
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