rationalize the denominator and simplify (2√7+3)/(√7+2)

Question

anonymous · Answer

When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate $$\sqrt{7}-2$$

anonymous · Answer

$$\frac{ (2\sqrt{7}+3 )}{ (\sqrt{7}+2 )} \times \frac{ \sqrt{7}-2 }{ \sqrt{7}-2 }$$

anonymous · Answer

why is it negative? shouldnt it be positive 2?

anonymous · Answer

oh opps just kidding the bottom cancels out

anonymous · Answer

To rationalize we use the conjugate which simply means we change the sign so notice how we want to rationalize the denominator so we multiply the top and bottom by sqrt(7)-2 we change the + to - this way we can get an expression as such $$a^2-b^2$$

anonymous · Answer

Yeah!

usukidoll · Answer

"When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate "

signs need to be switched.. since you have a + on the denominator we have to multiply by sqrt{7}-2

anonymous · Answer

ahaha I understand now! thank you both!