Question

Given that √2 is irrational, prove that 5+3✓2 is an irrational number. ​

Answer 1

Since √2 is an irrational number ( given ), therefore 3√2 is irrational because the product of a rational and an irrational number is always irrational.

Since, the sum of a rational and an irrational number is irrational,

thus, 5 + 3√2 is irrational.

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