Question

tính : \(\dfrac{\sqrt{48}+\sqrt{192}-\sqrt{175}}{\sqrt{3}}\)

Answer 1

\(\dfrac{\sqrt{48}+\sqrt{192}-\sqrt{175}}{\sqrt{3}}=\dfrac{\left(\sqrt{48}+\sqrt{192}-\sqrt{175}\right).\sqrt{3}}{\sqrt{3}.\sqrt{3}}=\dfrac{12+24-5\sqrt{21}}{3}=\dfrac{36-5\sqrt{21}}{3}\)

Answer 2

Cách khác :

\(\dfrac{\sqrt{48}+\sqrt{192}-\sqrt{175}}{\sqrt{3}}=\dfrac{4\sqrt{3}+8\sqrt{3}-5\sqrt{7}}{\sqrt{3}}=\dfrac{12\sqrt{3}-5\sqrt{7}}{\sqrt{3}}=12-\dfrac{5\sqrt{7}}{\sqrt{3}}\)