rút gọn biểu thức ba câu F,G,H giúp mình với

$F=$ $\sqrt{17-12\sqrt{2}}+\sqrt{9+4\sqrt{2}}$

$=3-2\sqrt{2}+2\sqrt{2}+1$

$=3+1$

$=4$

$G=$ $\left(\dfrac{\sqrt{6}-\sqrt{3}}{\sqrt{2}-1}+\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\right):\dfrac{2}{\sqrt{5}-\sqrt{3}}$

$=\dfrac{\left(\dfrac{\sqrt{6}-\sqrt{3}}{\sqrt{2}-1}+\dfrac{5-\sqrt{5}}{\sqrt{5}-1}\right)\left(\sqrt{5}-\sqrt{3}\right)}{2}$

$=\dfrac{\left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{5}-\sqrt{3}\right)}{2}$

$=\dfrac{2}{2}$

$=1$

$H=$ $\left(2\sqrt{4}+\sqrt{6-2\sqrt{5}}\right)\left(\sqrt{10}-\sqrt{2}\right)$

$=\left(4+\sqrt{5}-1\right)\left(\sqrt{10}-\sqrt{2}\right)$

$=\left(3+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{2}\right)$

$=2\sqrt{10}+2\sqrt{2}$