Question

is (√3+√2) (√3-√2) a rational number.​

Answer 1

Answer:

we found that (3 + 2√2)(3 - 2√2) is a rational number because it results in 1. Hence proved that (3 + 2√2)(3 - 2√2) is not an irrational number.

Answer 2

Step-by-step explanation:

$( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} ) \\ = \sqrt{3} ( \sqrt{3} - \sqrt{2} ) + \sqrt{2} ( \sqrt{3} - \sqrt{2} ) \\ = 3 - \sqrt{3} \sqrt{2} + \sqrt{3} \sqrt{2} - 2 \\ = 3 - 2 \\ = 1$

It is equal to 1.

Hence it is a rational number.