Question

prove that √5 in irrational

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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

irrational

Step-by-step explanation:

to prove √5 is irrational

Assume √5 is rational

√5= p/q ( p,q are integers ,q is not equal to zero)

squaring on both sides

√5² =( p/q)²

5 = ( p²)/( q²)

5p² = q²

5 divides q² so 5 divides q

Take q as 5k

5p²= 5k²

5p²= 25k²

p² = 5k²

5 divides p² so 5 divides p

so our assumption is wrong

so,√ 5 is irrational

Hence proved

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