Question

Prove that 2+3√7 is irrational

Answer 1

Answer:

So, lettuce assume that 2 - 3 √ 7 as a rational number. Now, we observe the right-hand side as a rational number and the left-hand side as √7 that is a irrational number. Hence, the assumption is contradicted. Hence, it is proved that 2 - 3 √ 7 is an irrational number.

Answer 2

Answer:

3 root 7 is irrational.

Since the sum of a rational and an irrational number is irrational, 2+3 root 7 is irrational. (Proved)

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