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Is √2/7 irrational or rational

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Is √2/7 irrational or rational

Posted by Pbg 9A 4 years, 6 months ago

CBSE > Class 09 > Mathematics

3 answers

Nidhi Deshwal 4 years, 6 months ago

irrational

0Thank You

Miheer Nikam 4 years, 6 months ago

Irrational

1Thank You

Sia ? 4 years, 6 months ago

Let us assume that 2/√7 is rational number.
2/√7= 2/√7 × (√7/√7)= 2√7/7. ( Rationalising)
Now, 2√7/7 = p/q ( as rational no. can be written in the form of p/q)
2√7= 7p/q
√7= 7p/2q
Here LHS is irrational but RHS is rational.
This contradicts the statement.
Our assumption is wrong.
2/ √7 is an irrational number.

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CBSE > Class 09 > Mathematics