Question

Tại sao 4+2√3 = (√3 +1)^2 ạ?

Answer 1

\(4+2\sqrt{3}\)

\(=3+2\sqrt{3}+1\)

\(=\left(\sqrt{3}\right)^2+2\cdot\sqrt{3}\cdot1+1^2\)

\(=\left(\sqrt{3}+1\right)^2\)

Answer 2

Ta có:

\(VT=4+2\sqrt{3}\)

\(=1+2\sqrt{3}+3\)

\(=1^2+2\cdot\sqrt{3}\cdot1+\left(\sqrt{3}\right)^2\)

\(=\left(1+\sqrt{3}\right)^2\)

\(=\left(\sqrt{3}+1\right)^2=VP\left(dpcm\right)\)