Question

prove that
$prove \: that \sqrt{2} \: is \: a \: irrational \: number$
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Answer 1

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Here is the Solution

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Answer 2

Answer:

if possible,let us assume that √2 is a rational number. Then it's simplest form p/q are integers and q is not equal to 0 and Hcf of(p,q) = 1

Step-by-step explanation:

squaring both sides,we get

(√5)2= p2/q2

5 = p2/q2

p2=5q2..........1

5/p2

5/p. ................2

p=5c ................3

from eqn 1 and 3,we get