Question

\(2\sqrt{\dfrac{16}{3}}-3\sqrt{\dfrac{1}{27}}-6\sqrt{\dfrac{4}{75}}\)

 

Answer 1

√163 ≈ 12.767 √127 ≈ 11.269 √475 ≈ 21.794

2√163 - 3√127 - 6√475 ≈ 2(12.767) - 3(11.269) - 6(21.794)

≈ 25.534 - 33.807 - 130.764

≈ -138.037

 

Vậy giá trị của biểu thức 2√163 - 3√127 - 6√475 là -138.037.

Answer 2

\(=2\cdot\dfrac{4}{\sqrt{3}}-3\cdot\dfrac{1}{3\sqrt{3}}-6\cdot\dfrac{2}{5\sqrt{3}}\)

\(=\dfrac{8}{\sqrt{3}}-\dfrac{1}{\sqrt{3}}-\dfrac{12}{5\sqrt{3}}=\dfrac{7}{\sqrt{3}}-\dfrac{12}{5\sqrt{3}}\)

\(=\dfrac{1}{\sqrt{3}}\left(7-\dfrac{12}{5}\right)=\dfrac{23}{5\sqrt{3}}=\dfrac{23\sqrt{3}}{15}\)