a)$\sqrt{15}<4\Rightarrow \sqrt{15}-1<3$
$\sqrt{10}>3$
$\Rightarrow \sqrt{15}-1<\sqrt{10}$
b)$\sqrt{17}>4\Rightarrow \sqrt{17}+3>7$
$4\sqrt{3}=\sqrt{48}<7$
$\Rightarrow \sqrt{17}+3>4\sqrt{3}$
c)$-4\sqrt{5}=-\sqrt{80}>-9\Rightarrow -4\sqrt{5}+3>-6$
$-\sqrt{37}<-6$
$\Rightarrow -4\sqrt{5}+3>-\sqrt{37}$
d)$-\sqrt{37}<-6\Rightarrow -\sqrt{37}-5<-11$
$-\sqrt{120}>-11$
$\Rightarrow -\sqrt{37}-5<-\sqrt{120}$
e)$1<\sqrt{2}<2\ ;\ 3<\sqrt{11}<4\\\Rightarrow 4<\sqrt{2}+\sqrt{11}<6$
$1<\sqrt{3}<2\Rightarrow 6<\sqrt{3}+5<7$
$\Rightarrow \sqrt{2}+\sqrt{11}<\sqrt{3}+5$