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root 5 is an irrational number . prove that

Posted by Jashraj Bhanushali 5 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Jashraj Bhanushali 5 years, 3 months ago

I know

0Thank You

Gaurav Seth 5 years, 3 months ago

"√5 is an “irrational number”.

Given:

√5

To prove:

√5 is a rational number

Solution:

Let us consider that √5 is a “rational number”.

We were told that the rational numbers will be in the “form” of form Where “p, q” are integers.

So,

we know that 'p' is a “rational number”. So 5 \times q should be normal as it is equal to p

But it did not happens with √5 because it is “not an integer”

Therefore, p ≠ √5q

This denies that √5 is an “irrational number”

So, our consideration is false and √5 is an “irrational number”."

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Seraj Ali ????? 5 years, 3 months ago

Book mai hai bhai

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