1.

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

Answer»

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

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