Question

Prove that √2 + 5√3 is irrational

Answer 1

Step-by-step explanation:

Let, us assume that 2+5√3 is a rational number. Therefore, a-2b/5b is in the form of a/b which is rational number. But,this is contradicts the fact is that √3 is irrational number. Therefore, our assumption is wrong and 2+5√3 is an irrational number.

Answer 2

Step-by-step explanation:

Let, us assume that 2+5√3 is a rational number. Therefore, a-2b/5b is in the form of a/b which is rational number. But,this is contradicts the fact is that √3 is irrational number. Therefore, our assumption is wrong and 2+5√3 is an irrational number.

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