Đáp án:
$a)A =6\sqrt{5} -2\sqrt{5}-\sqrt{5}$
$A=3\sqrt{5}$
$b)B=\sqrt{180}-\sqrt{20}-\sqrt{5}$
$B=\sqrt{36.5}-\sqrt{4.5}-\sqrt{5}$
$B=6\sqrt{5}-2\sqrt{5}-\sqrt{5}$
$B=3\sqrt{5}$
$c) C=\dfrac{3}{\sqrt{10}}+\sqrt{40}$
$C=\dfrac{3.\sqrt{10}}{\sqrt{10}.\sqrt{10}}+\sqrt{40}$
$C=\dfrac{3\sqrt{10}}{10}+\sqrt{40}$
$10C= 3\sqrt{10}+10\sqrt{40}$
$10C=3\sqrt{10}+20\sqrt{10}$
$10C=23\sqrt{10}$
$C=\dfrac{23\sqrt{10}}{10}$
$d) D=\dfrac{2}{\sqrt{5}}-\sqrt{20}$
$D=\dfrac{2\sqrt{5}}{5}-2\sqrt{5}$
$5D=2\sqrt{5}-10\sqrt{5}$
$D=\dfrac{-8\sqrt{5}}{5}$
$e)E=\sqrt{\dfrac{5}{4}}+\sqrt{20}$
$E=\sqrt{2\sqrt{5}}{4}+2\sqrt{5}$
$4E=2\sqrt{5}+8\sqrt{5}$
$4E=10\sqrt{5}$
$E=\dfrac{5\sqrt{5}}{2}$
$f) F=\sqrt{\dfrac{1}{3}}+\sqrt{27}$
$F=\dfrac{\sqrt{3}}{3}+3\sqrt{3}$
$3F=\sqrt{3}+9\sqrt{3}$
$F=\dfrac{10\sqrt{3}}{3}$
$g)G=\dfrac{1}{\sqrt{2}-1}+2\sqrt{8}$
$G=\dfrac{\sqrt{2}+1}{2-1}+2\sqrt{8}$
$G=\sqrt{2}+1+4\sqrt{2}$
$G=5\sqrt{2}+1$
$h) H =\dfrac{3}{\sqrt{5}-2}+\dfrac{\sqrt{500}}{10}-\sqrt{20}$
$H= \dfrac{3(\sqrt{5}+2)}{5-4}+\dfrac{\sqrt{5.100}}{10}-\sqrt{4.5}$
$H=3(\sqrt{5}+2)+\sqrt{5}-2\sqrt{5}$
$H=2\sqrt{5}+6$