Question

examine whether the following numbers are rational or irrational {3+√2}{2-√3}{3-√2}{2+√3} plsss give the answer step by step​

Answer 1

Answer:

Rational

Step-by-step explanation:

$(3 + \sqrt{2)} \times (3 - \sqrt{2} ) \times (2 - \sqrt{3} ) \times (2 + \sqrt{3} )$

$( {3}^{2} - { \sqrt{2} }^{2} ) \times ( {2 }^{2} - { \sqrt{3} }^{2} )$

$(9 - 2) \times (4 - 3)$

= 7 x 1

= 7