Question

Rationalize the denominator and simplify.

Answer 1

Same idea as last time. What's the conjugate?

Answer 2

What's the conjugate of \(\color{red}{\sqrt{a+1}} + \color{green}{2}\)

the conjugate of a+b is a-b

Answer 3

\[\sqrt{a-1}-2\]

Answer 4

Good, now multiply the numerator and denominator by it.

And don't forget this formula:
(a+b)(a-b) = a^2 - b^2

Answer 5

which is the Numerator and denominator? what numbers?

Answer 6

why just why

Answer 7

\(\color{#0cbb34}{\text{Originally Posted by}}\) @yaboiaction
why just why
\(\color{#0cbb34}{\text{End of Quote}}\)

what?

Answer 8

numerator and denominator of your question with the conjugate

\(\dfrac{\sqrt{a+1}-2}{\sqrt{a+1}+2 }\times \dfrac{\sqrt{a+1}-2}{\sqrt{a+1}-2}\)

Answer 9

ohhh ok thank you

Answer 10

remember \(\sqrt{a+1}\) is one term, we don't change the sign inside it