Question

State whether the number (root2 - root3) (root2 + root3) is rational or irrational justify?

Answer 1

Hey Friend ✋✋✋

( √2 - √3 ) ( √2 + √3 )

By using ( a - b ) ( a + b ) = a² - b² identity ,

( √2 - √3 ) ( √2 + √3 ) = (√2)² - (√3)² = ( 2 - 3 ) = ( - 1 )

( -1 ) is a integer and also a rational number.

Hope it helps

Answer 2

(√2-√3) (√2+√3)
(√2)²- (√3)² {(a+b)(a-b)=a²-b²}
2-3=-1
-1 is rational number.