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Show root 2 as an irrational …

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Show root 2 as an irrational number

Posted by Abhay Mathur 6 years, 9 months ago

CBSE > Class 10 > Mathematics

5 answers

Yogita Ingle 6 years, 9 months ago

Given √2 is irrational number.
Let √2 = a / b wher a,b are integers b ≠ 0
we also suppose that a / b is written in the simplest form
Now √2 = a / b
⇒ 2 = a² / b²
⇒ 2b²= a²
∴ 2b² is divisible by 2
⇒ a² is divisible by 2
⇒ a is divisible by 2
∴ let a = 2c
a²= 4c²
⇒ 2b² = 4c²
⇒ b² = 2c²
∴ 2c² is divisible by 2
∴ b²is divisible by 2
∴ b is divisible by 2
∴ a are b are divisible by 2 .
this contradicts our supposition that a/b is written in the simplest form
Hence our supposition is wrong
∴ √2 is irrational number.

Yogita Malik 6 years, 9 months ago

You will find your answer in maths NCERT Book........It is very... difficult to type here

Gautam Prajapati 6 years, 9 months ago

Yup u will find answer in ur ncert book..... It is difficult to type here....

Miss Hatke_Singing Queen ? 6 years, 9 months ago

Bohat bada h..yaha nhi bta skte...ncert me dekho

Anshika Khandelwal 6 years, 9 months ago

Refer to your ncert book..

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