Question

Simplify (4 + √3)^2

Answers:

19 + 8√3
16+2√3
19

Answer 1

its just like how you do (x+ y)^2

Answer 2

let 4 be the x and\[\sqrt{3}\] be y :)

Answer 3

I'll help ya:
we know that to expand a squared bin. we have this little formula:
\[(a+b)^{2}=a ^{2}+2ab+b ^{2}\]
Let's apply it to the problem:
\[(4+\sqrt{3})^{2}=(4)^{2}+2(4)(\sqrt{2})+(\sqrt{3})^{2}\]
Okay, let's operate:
\[(16)+2(4)(\sqrt{3})+3\]
All i did was squaring the 4, and since Sqrt and exponential are opposite ican simplify them.
Now, we know that 4= Sqrt of 16 and 2 is sqrt of 4, let's apply it:
\[16+\sqrt{4}(\sqrt{16})(\sqrt{3})+3\]
Knowing a little radication, we get:
\[16+\sqrt{(4)(16)(3)}+3\]
we can simplify it as:
\[19+8\sqrt{3}\]
And done.

Answer 4

(4+sqrt(3))^2=16+3+8sqrt(3)=19+8 sqrt(3)