Question

Answer 1

a.\(=3\sqrt{2}-2\sqrt{2}+5\sqrt{2}-16\sqrt{2}=-10\sqrt{2}\)

b.\(=\left|2+\sqrt{5}\right|-\left|2-\sqrt{5}\right|=2+\sqrt{5}+2-\sqrt{5}\)=4

c.\(=\dfrac{\sqrt{5}+\sqrt{3}+\sqrt{5}-\sqrt{3}}{\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right)}.\sqrt{5}\)

=\(\dfrac{2\sqrt{5}}{2}.\sqrt{5}=5\)