# How to prove that √2 and√3 are irrational numbers. please give the answer fast. I need it

1
by Srushti13

CHRISLE, when will u finish writing ur answer

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by Srushti13

CHRISLE, when will u finish writing ur answer

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The Brainliest Answer!

1. for √2

let us assume√2 as a rational no

so √2=p/q

squaring on both sides

√2²=p²/q²

2=p²/q²

p²=2q²

so 2 divides p²

⇒ 2 divides p

let p= 2m

squaring on both sides

p²=4m²

⇒2q²=4m²

q²=2m²

so 2 divides q² ⇒ 2 divides q

this contradicts the fact that p & q are co primes and have only one common factor so our assumption is wrong therefore √2 is irrational

for √3

the same method but take p=3m and then you can prove it