Đáp án+Giải thích các bước giải:
a, A = $\sqrt{45}$ : $\sqrt{5}$ - $\sqrt{72}$ + 3$\sqrt{8}$
= $\sqrt{9.5}$ : $\sqrt{5}$ - $\sqrt{36.2}$ + 3$\sqrt{4.2}$
= 3$\sqrt{5}$ : $\sqrt{5}$ - 6$\sqrt{2}$ + 6$\sqrt{2}$
= 3
b, B = $\dfrac{-3}{\sqrt{2} - 1}$ - $\dfrac{3\sqrt{6} - 3\sqrt{10}}{\sqrt{3} - \sqrt{5}}$
= $\dfrac{-3}{\sqrt{2} - 1}$ -$\dfrac{3\sqrt{2}.(\sqrt{3} - \sqrt{5})}{\sqrt{3} - \sqrt{5}}$
= $\dfrac{-3}{\sqrt{2} - 1}$ - 3$\sqrt{2}$
= $\dfrac{-3 - 3\sqrt{2}}{\sqrt{2} - 1}$
= $\dfrac{-3.(\sqrt{2} - 1)}{\sqrt{2} - 1}$
= - 3