SOLUTION: Use Property 1 to simplify the following radical expressions. Assume that all variables represent positive real numbers. Square root 72x^3 This is what I have. (I don't know

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use Property 1 to simplify the following radical expressions. Assume that all variables represent positive real numbers. Square root 72x^3 This is what I have. (I don't know       Log On


   



Question 108456This question is from textbook Beginning Algebra
: Use Property 1 to simplify the following radical expressions. Assume that all variables represent positive real numbers.
Square root 72x^3
This is what I have. (I don't know how to make the square root sign here, so that is why it is typed out).
Square Root 72^3=Square Root 36 X Square Root 2 X Square Root of x^2 X Square Root of x.
This becomes 6 times the Sqare Root of 2 X Square Root of x^2 X Square Root x
I am not sure if I am heading in the correct direction. The textbook is very vague. Can you assist me on this?
This question is from textbook Beginning Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Square root 72x^3
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Separate perfect-square factors from those that are not perfect squares.
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sqrt(72x^3) = [sqrt(36x^2)][sqrt(2x)]
Simplify the sqrt of the perfect-square factors to get:
= 6x sqrt(2x)
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Follow that procedure any time you are asked to simplify
a sqrt expresion.
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Cheers,
Stan H.