Question

X= √13+√11 / √13-√11

Answer 1

Answer:

Step-by-step explanation:

given x=sqrt(13)+sqrt(11)/(sqrt(13)-sqrt(11))

the rationalising factor of the denominator srqt(13)-sqrt(11) is

sqrt(13)+sqrt(11)

now multiply numerator and denominator with srt(13)+sr(11)

now

((sqrt(13)+sqrt(11))^2)/2

=13+11+2*sqrt(13)sqrt(11)/2

=24+2*sqrt(143)/2

=12+srt(143)