Question

Answer 1

a) \(A=10\sqrt{2}-12\sqrt{2}-9\sqrt{2}+35\sqrt{2}=24\sqrt{2}\)

b) \(B=\sqrt{\left(\sqrt{7}+1\right)^2}+\sqrt{\left(\sqrt{7}-2\right)^2}\)

\(=\sqrt{7}+1+\sqrt{7}-2=2\sqrt{7}-1\)

c) \(C=2\sqrt{5}+\dfrac{8\left(3-\sqrt{5}\right)}{\left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right)}-\dfrac{3\left(\sqrt{2}-\sqrt{5}\right)}{\left(\sqrt{2}-\sqrt{5}\right)}\)

\(=2\sqrt{5}+\dfrac{24-8\sqrt{5}}{4}-3=2\sqrt{5}+6-2\sqrt{5}-3=3\)