Question

Simplify :
(3√2+2√3)^2

Answer 1

Step-by-step explanation:

We will apply the formula of (a+b)^2 = a^2 +2ab + b^2

(3√2+2√3)^2 = (3✓2)^2 + 2 x 3✓2 x 2✓3 + (2✓3)^2

= 9x2 + 12✓6 + 4x3

= 18 + 12✓6 + 12

= 30 + 12✓6

I hope it helps

Answer 2

$( {3 \sqrt{2} + 2 \sqrt{3} })^{2} \\ ( {a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\( {3 \sqrt{2} })^{2} + ( {2 \sqrt{3} })^{2} + 2 \times3 \sqrt{2 } } \times 2 \sqrt{3 \\} \\ 9 \times 2 + 4 \times 3 + 6 \sqrt{2} \times 2 \sqrt{3} \\ 18 + 12 + 12 \sqrt{6 \\ } \\ 30 + 12 \sqrt{6}$