Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

(5+3√2)² simplify the following
​

Sagot :

profereyes12122

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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.