Question

prove thatप्रूफ दैट रूट 3 प्लस रूट 5 इज एनी पर्सनल नंबर ​

Answer 1

Answer:

as root 3 is irrational and root 5 is also irrational

so their sum will also be irrational

DO MARK ME AS BRAINLIEST

Answer 2

Step-by-step explanation:

Let √3+√5 be a rational number.

A rational number can be written in the form of p/q where p and q are integers

√3+√5=p/q

√3=p/q-√5

Squaring both sides,

(√3)²=(p/q-√5)²

3= p²/q²+√5²-2(p/q)(√5)

√5×2p/q=p²/q²+5-3

√5=(p²+2q²)/q²×q/2p

√5=(p²+2q²)/2pq

p,q are integers then (p²+2q²)/2pq is a rational number.

Then √5 is also a rational number but this contradicts the fact that√5 is an irrational number. So are supposed is false

Therefore,√3+√5 is an irrational number.

Hope it helps :)