Question

Simplify. Express in simplest radical form.
this not exactly a question but more like tell me if i am correct or not.

(√3+√5)(√3+√5)=(√3)^2+(√5)^2=3+5=8?

Answer 1

\(\bf (a+b)(a+b) \ne a^2 + b^2\\ \quad \\
(a+b)(a+b) = (a+b)^2\)

Answer 2

=(√3+√5)^2?

Answer 3

ohh which would make (3+5)^2 =64

Answer 4

well... not quite....

\({\bf (\sqrt{3}+\sqrt{5})(\sqrt{3}+\sqrt{5})}\\ \quad \\
\begin{cases}
\sqrt{3}\times\sqrt{3}+\\
\sqrt{3}\times \sqrt{5}+\\ \quad \\
\sqrt{5}\times \sqrt{3}+\\
\sqrt{5}\times \sqrt{5}
\end{cases}
\implies 3\quad +\quad \sqrt{15 }\quad +\quad\sqrt{15 }\quad +\quad 5
\)

Answer 5

\(\bf \sqrt{3}+\sqrt{5} \ne 8\)

Answer 6

like that?