Question

prove that 1 by root 2 is irrational

Answer 1

ANSWER:----------

1/√2 = p/q 

q/p = √2

q     = √2p

squaring both sides

q²   = 2p²                                                  .....................(1)

By theorem 

q is divisible by 2

∴ q = 2c

2p² = q² = 2c² =4c²

p² =4c² /2 = 2c²

p²/2 = c² 

by theorem p is also divisible by 2

∴1/√2 is irrational

hope it helps:--

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