Question

h. \(\sqrt{5}+\sqrt{9-4\sqrt{5}}\)

i. \(\sqrt{8\sqrt{3}}-2\sqrt{25\sqrt{12}}+4\sqrt{\sqrt{192}}\)

Answer 1

Sao cậu không bấm máy tính?

Answer 2

h)\(\sqrt{5}+\sqrt{9-4\sqrt{5}}=\sqrt{5}+\sqrt{\left(\sqrt{5}\right)^2-2.2.\sqrt{5}+2^2}\)

\(=\sqrt{5}+\sqrt{\left(\sqrt{5-2}\right)^2}\)

\(=\sqrt{5}+\left|\sqrt{5}-2\right|\)

\(=\sqrt{5}+\sqrt{5}-2\)

\(=2\sqrt{5}-2\)

Answer 3

i. \(2\sqrt{2\sqrt{3}}-10\sqrt{2\sqrt{3}}+8\sqrt{2\sqrt{3}}=\sqrt{2\sqrt{3}}\left(2-10+8\right)\)

\(=\sqrt{2\sqrt{3}}.0=0\)