Question

(5+3√2)² simplify the following
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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√(2)}`

∴ The final answer will be 43 + 30√2.

Answer 2

`(5+3√(2) )^(2) =43+30√(2)`

≈85.43

Explanation:

apply the binomial theorem to the square

`=(5)^(2) +2(5)(3√(2) )+(3√(2) )^(2)`

`=25+30√(2) +18\\`

`=43+30√(2)`

≈85.43

Hope this helps