Question

[tructiepgame]

\(\frac{3\sqrt{10}+\sqrt{20}-3\sqrt{6}-\sqrt{12}}{\sqrt{5}-\sqrt{3}}\)

Answer 1

[Kiyotaka Ayanokoji]

Bài làm:

Ta có:\(\frac{3\sqrt{10}+\sqrt{20}-3\sqrt{6}-\sqrt{12}}{\sqrt{5}-\sqrt{3}}\)

\(=\frac{3\sqrt{10}+2\sqrt{5}-3\sqrt{6}-2\sqrt{3}}{\sqrt{5}-\sqrt{3}}\)

\(=\frac{3\sqrt{2}.\left(\sqrt{5}-\sqrt{3}\right)+2.\left(\sqrt{5}-\sqrt{3}\right)}{\sqrt{5}-\sqrt{3}}\)

\(=\frac{\left(3\sqrt{2}+2\right).\left(\sqrt{5}-\sqrt{3}\right)}{\sqrt{5}-\sqrt{3}}\)

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

Học tốt 

Answer 2

[Phí Yến Nhi]

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