Question

prove that 3 - root 3 whole square is irrational

Answer 1

Answer:

RHS is rational while the LHS is irrational. This is not possible and therefore contradicts our assumption that (root 3 + root 5)2 is rational. Therefore (root 3 + root 5)2 is irrational.

Answer 2

Heya mate!!!

here is your equation:

(3 - √3)^2

= (3 - √3) (3 - √3)

= using identity ; (a - b)^2 = a^2 - 2ab + b^2

= 3^2  - 2 * 3 *√3 + √3^2

= 9 - 2 * $3^{\frac{3}{2}}$  + 3

= 12 - 2 * $3^{\frac{3}{2}}$

= therefore its irrational