SOLUTION: Rationalize the denominator of each expression. [] means square root.. thanks you. [7x / [3] 3[x^2] /2[4]

Question 181310: Rationalize the denominator of each expression. [] means square root.. thanks you.

[7x / [3]

3[x^2] /2[4]
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I think you mean:

Rationalize the denominator means to take whatever action required so that the denominator of the fraction is a rational number. In this case, multiplication of the denominator by

will do the trick nicely. However, you can't just multiply the denominator by something other than 1 and still have the same value for the fraction overall. The only thing you can multiply the whole fraction by is something that has a value of 1. In this case, it will be convenient to multiply the entire fraction by

, thus:

Your second problem is trivial because both of the radicands are perfect squares, meaning the square roots are rational.

John

RELATED QUESTIONS
rationalize the denominator of each expression... thanks key: [ means square roots (answered by stanbon)

2 over square root of 3 plus the square root of 2. Rationalize the denominator.... (answered by scott8148)

Hello, sorry to be a bother!!! But I need help a usual!! Here are my problems!! 1.... (answered by sarah_adam)

Divide. Rationalize the denominator if necessary. Then simplify each radical expression. (answered by jim_thompson5910)

Please help me to rationalize the denominator 1-squart root of 7/4+3*the square root... (answered by JBarnum)

Rationalize the denominator of each radical expression. Assume all variables represent... (answered by Nate)

rationalize the denominator? cube root(2/3) (answered by stanbon)

help with Rationalize the denominator squareroot of 3 -1 ________________________... (answered by edjones)

2/(3+square root of x) I need to rationalize the denominator but I don't know... (answered by jim_thompson5910)