Question

Prove
that Root3+root5
is an
irrationa​

Answer 1

Answer:

Let √3 + √5 be a rational number , say r

then √3 + √5 = r

On squaring both sides,

(√3 + √5)2 = r2

3 + 2 √15 + 5 = r2

8 + 2 √15 = r2

2 √15 = r2 - 8

√15 = (r2 - 8) / 2

Now (r2 - 8) / 2 is a rational number and √15 is an irrational number .

Since a rational number cannot be equal to an irrational number . Our assumption that √3 + √5 is rational wrong .

Step-by-step explanation:

PLEASE MARK AS BRAINEST

Answer 2

Answer:

hello oo❣

Step-by-step explanation:

hey mate here is your answer....

to prove that √3+√5 is irrational

from the above pic

a^-2b^/2ab is a rational number then √3 is also a rational but it contradicts the fact that √3 is irrational ......

there fore √3+√5 is a irrational number

hope it helps u......