Question

so that so that square root of 7 is irrigation
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Answer 1

by the method of contradiction

let us assume that √7 is rational number.

so,

√7 = a/b

b√7 = a

squaring on both sides.

we get

7b ² =a²

if 7 divides a then it also divides a²

so

a = 7c

squaring on both sides

a² = 49 c²

7b² = 49c²

b² = 7c²

here a b c have 7 as common factor

but √7 is irrational

this contradiction has arisen due to our incorrect assumption

this contradicts the fact that

√7 is irrational

hope it helps u