Question

Plzz solve this simplify Questions no.5

Answer 1

(3+√2)(2+√2)^2

= (3+√2) ( 4 + 2 + 4√2)
= 2(3+√2) (3+2√2)
= 2(9+6√2 + 3√2 + 4)

= 2(13 + 9√2)

= 26 + 18√2

Answer 2

$Given : (3 + \sqrt{3})(2 + \sqrt{2})^2$

$=> (3 + \sqrt{3})(4 + 2 + 4\sqrt{2})$

$=> (3 + \sqrt{3})(6 + 4\sqrt{2})$

$=> (3 * 6 + 3 * 4\sqrt{2} + 6 * \sqrt{3} + 4 * \sqrt{3} * \sqrt{2})$

$= > {18 + 12\sqrt{2} + 6\sqrt{3} + 4\sqrt{3 * 2}$

$=> \boxed{18 + 12\sqrt{2} + 6\sqrt{3} + 4\sqrt{6}}}$

Hope it helps!