Question

Answer 1

\(\sqrt{4-2\sqrt{3}}+\sqrt{28-10\sqrt{3}}=\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(5-\sqrt{3}\right)^2}\)

=2-\(\sqrt{3}\)+5-\(\sqrt{3}\)=7-2\(\sqrt{3}\)

Answer 2

\(=\sqrt{\left(\sqrt{3}-1\right)^2}+\sqrt{\left(5-\sqrt{3}\right)^2}\\ =\sqrt{3}-1+5-\sqrt{3}=4\)

Answer 3