Question

prove that 2/root 7 is a rational number​

Answer 1

Answer:

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 tha statement.

Our assumption is wrong.

2/√7 is an irrational number.

Step-by-step explanation:

I hope this answer is you useful.