Question

given that root 5 is irrational prove that 5 plus root 5 is irrational​

Answer 1

Answer:

So it can be expressed in the form p/q where p,q are co-prime integers and q≠0

⇒ √5 = p/q

On squaring both the sides we get,

⇒5 = p²/q²

⇒5q² = p² —————–(i)

p²/5 = q²

So 5 divides p

p is a multiple of 5

⇒ p = 5m

⇒ p² = 25m² ————-(ii)

From equations (i) and (ii), then u Will get

thanks me and mark me as brainlist

Answer 2

Answer:

root 5 + root 5 is irrational because root 5 + root 5 = 4.472135954999579 which is a non terminating and non repeating number