Question

prove root 3 + root 5 is irrational?​

Answer 1

Answer:

yes

Step-by-step explanation:

Let v3+v5 be a rational number. A rational number can be written in the form of p/q where p,q are integers.

V3+v5 = p/q V3 = p/q-v5

Squaring on both sides,

(V3)? = (p/q-15)

3 = p/q²+v5?-2(p/q)(v5) %D

V5x2p/q = p?/q?+5-3 v5 = (p?+2q?)/q² × q/2p

V5 = (p?+2q?)/2pq

p,q are integers then (p2+2q/2pq is a Then v5 is also a rational number.

rational number.

But this contradicts the fact that v5 is an

irrational number.

So,our supposition is false.

Therefore, v3+v5 is an irrational number.