Question

Rationalize the denominator and simplily.​

Answer 1

( (√ a+ 1) − 2 ) ^2/a-3

Explanation:

Answer 2

Explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

`(√(a+1) -2)/(√(a+1)+2)= ((√(a+1)-2)(√(a+1)-2 ))/((√(a+1)+2 )(√(a+1)-2))\\\\`

`=((√(a+1)-2 )^(2))/((√(a+1) )^(2)-2^(2))\\\\=\frac{(√(a+1))^ {2}-2*√(a+1)*2+2^(2) }{a+1-4}\\\\=(a+1 - 4√(a+1)+4 )/(a-3)\\\\=(a+5-4√(a+1) )/(a-3)`