Question

show that (√3+√5)^2 is an irrational number​

Answer 1

Answer:

(√3+√5)²

=(√3)²+(√5)²+2(√3)(√5)

=3+5+2√15

=8+2√15

If an irrational number is added to a rational number, the sum is also an irrational number.

Hence proved!!!