Question

prove the irrational number of √3+√5​

Answer 1

Answer:

√3+√5= rational number

(√3+√5)2 = (rational number)2=rational number

(√3)2 + (√5)2 + 2√3√5 = a rational number

3+5+2√15 = is a rational number

8+2√15 = is a rational number

now,

√15 is a irrational no. and 2 is a rational number

2√15 is a irrational no.

but, 8 is a rational number

8+2√15 is a irrational no.

now ,

√3+√5 is a irrational no.

PROVED

Answer 2

Let root 3+root5 be rational no.
X=root3+root5
Squaring B.S
X^=( root3+root5)^