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Answer:
[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]
≈85.43
Step-by-step explanation:
apply the binomial theorem to the square
[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]
[tex]=25+30\sqrt{2} +18\\[/tex]
[tex]=43+30\sqrt{2}[/tex]
≈85.43
Hope this helps
Hello!
Here, we apply the algebraic identity :
[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]
Let's solve!
⇒ (5 + 3√2)²
⇒ (5)² + 2(5)(3√2) + (3√2)²
⇒ 25 + 30√2 + 18
⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]
∴ The final answer will be 43 + 30√2.