Question

(5+3√2)² simplify the following​

Answer 1

Hello!

Here, we apply the algebraic identity :

$\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}$

Let's solve!

⇒ (5 + 3√2)²

⇒ (5)² + 2(5)(3√2) + (3√2)²

⇒ 25 + 30√2 + 18

⇒ $\boxed {43 + 30\sqrt{2}}$

∴ The final answer will be 43 + 30√2.

Answer 2

Answer:

$(5+3\sqrt{2} )^{2} =43+30\sqrt{2}$  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

$=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}$

$=25+30\sqrt{2} +18$

$=43+30\sqrt{2}$

≈85.43

Hope this helps