IDNLearn.com helps you find the answers you need quickly and efficiently. Get prompt and accurate answers to your questions from our community of knowledgeable experts.

PLEASE SOLVE IT WITH EXPLANATION!!
DONT TAKE POINTS :)


PLEASE SOLVE IT WITH EXPLANATIONDONT TAKE POINTS class=

Sagot :

Step-by-step explanation:

We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,

→ (a + b)² = a² + b² + 2ab

→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)

We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)

Solve the brackets, to do so first put the like terms in one box.

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)

Solve the rest calculations.

→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)

→ (2√5 + 3√2)² = 38 + 12√10

Option (a) (38 + 12√10) is the correct option.

[tex][Hello,BrainlyUser][/tex]

Answer:

[A] [tex]38+12\sqrt{10}[/tex]

Step-by-step explanation:

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2[/tex]

[tex]=\left(2\sqrt{5}\right)^2+2\cdot \:2\sqrt{5}\cdot \:3\sqrt{2}+\left(3\sqrt{2}\right)^2[/tex]

[tex]=38+12\sqrt{10}[/tex]

[CloudBreeze]

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com has the answers you need. Thank you for visiting, and we look forward to helping you again soon.