Question

ans this question fastly ​

Answer 1

Answer:

Step-by-step explanation:

X=√2+√3

X²=(√2+√3)²

As We Know

(a+b)²=a²+b²+2ab

X²=(√2+√3)²

=√2²+√3²+2×√2×√3

=2+3+2√6

=5+2√6

X²=5+2√6

NOW We have to find

{x²+1}/{x²-2}

{(5+2√6)+1}/{(5+2√6)-2}

{5+1+2√6}/{5-2+2√6}

{6+2√6}/{3+2√6}

Rationalise The Term with

(3-2√6)

{(6+2√6)(3-2√6)}/{(3+2√6)(3-2√6)}

={18-12√6+6√6-4×6}/{(3)²-(2√6)²}

={18-6√6-24}/{9-4×6}

=-6-6√6/-15

=-3(2+6√6)/-15

=2+6√6/5

Answer={2+6√6}/5