Question

3. Simplify: (2+3√2)²​

Answer 1

       $\underline{\bold{Answer:}}$

       $22 + 12\sqrt2$

       $\underline{\bold{Step-by-step-explaination:}}$

       $\text{The given number is }(2+3\sqrt2)^{2}$

       $\text{We know that }(a+b)^{2} = (a^{2} + b^{2} + 2ab)$

       $\text{Here }a = 2\text{ and }b = 3\sqrt2$

$\implies \boxed{(2+3\sqrt2)^{2} = (2)^{2} + (3\sqrt2)^{2} + 2(2)(3\sqrt2) }$

$\implies \boxed{(2+3\sqrt2)^{2} = 4 + 18 + 12\sqrt2 }$

   $\therefore \text{ }\boxed{(2+3\sqrt2)^{2} = 22 + 12\sqrt2 }$

Answer 2

Answer:

(2+3√2) (2+3√2)

(4+6√2+6√2+9×2)

(4+12×2+18)

(28+18)

64