Prove that 3 + 2 √5 irrational.

Question

KnowledgeBoat · Accepted Answer

Let us assume, to the contrary, that 3 + is a rational number. So, it can be written in the form . 3 + ..........(1) Here a and b are coprime numbers and b 0. Solving equation (1), we get : This shows that is a rational number, but we know that is an irrational number. ∴ Our assumption of is a rational number is incorrect. Hence, proved that is irrational.

Mathematics

Prove that 3 + 2 √5 irrational.

Irrational Numbers

Related Questions

Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.