Question

Prove th at 3+ 2 root 7 Prove that 3+2 ROOT 7 US AN IRRATIONAL

Answer 1

Answer:

To proof:-

3+√7 is an irrational number.

Solution:-

let us assume that 3+√7 is rational.

=> 3+√7 will be in the form p/q where p and q are integers and q is not equal to zero.

therefore,3√7=a/b

√7=a/b-3

√7=a-3b/b

as √ 7 is in the form of a/b means it is a rational number.

but the contradiction is that √7 is irrational.

Thus , our assumption is wrong.

therefore 3+√7 is irrational number.

hence prooved.

hope this helps you.