SOLUTION: Simplify. This is all one square root. square root 3x/2

Question 113881: Simplify. This is all one square root.
square root 3x/2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
is what I think you mean.

Begin with the fact that for all real a, and real b so long as .

So,

However, simplest form requires that you have no radicals in the denominator, so you have to perform a process called 'rationalizing the denominator.' To perform this process, you need to start with the ideas that for all real a and for all real a, . What we are going to do is multiply our expression by 1 in the form of .

And that is the simplest form for the given expression.

Hope that helps,
John
RELATED QUESTIONS
Simplify square root of... (answered by jim_thompson5910)

Simplify: square root 72 - square root... (answered by checkley71)

Simplify (Square root of 3x - 2Square root of... (answered by josgarithmetic)

Simplify. square root 448x^2 (answered by edjones)

square root... (answered by Fombitz)

how to you simplify this problem? square root of x+2/x+1. the entire x+2/x+1 is... (answered by Alan3354)

hello,im homeschooled and i had a problem solving this expression. can you please check (answered by josmiceli)

What is the answer to this question: Simplify the square root of 12 plus the square root... (answered by Alan3354,ewatrrr)

I really don't understand this one.. Simplify the following expression. square... (answered by Alan3354)