Question

show that √5 is not a rational number.
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Answer 1

here's your answer

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Answer 2

Hey mate here is your answer

Let us assume root 5 is an rational number.

So we can find two integers a and b.

Both have common factors 1 so we divide them by 1.

:root 5 =a/b

=squaring both sides :

• Root5 square =a/b square
• 5b square = a square
• Here we can see that a square is divisible by 5 and also is divisible by a
• Let a = 5 k.
• Put the value of a
• We have 5 b square = 5 k square
• B square = 5k
• So we can see th b square is divisible by 5 so b is also divisible by 5
• Is. it arise contradiction that boat has Common Factor 5 A and B are coprime number and root 5 is not and rational number it is irrational number