Question

Answer 1

a) = 3\(\sqrt{2}\) - \(10\sqrt{2}\) + 6\(\sqrt{2}\) = -\(\sqrt{2}\)

b) = 7 - \(2\sqrt{21}\)+ 3 + 2\(\sqrt{21}\)=10

c)= \(\dfrac{4\left(\sqrt{5}+1\right)}{\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)}\)-\(\dfrac{4\left(\sqrt{5}-1\right)}{\left(\sqrt{5}-1\right)\left(\sqrt{5}+1\right)}\)

= \(\dfrac{4\sqrt{5}+4-4\sqrt{5}+4}{5-1}\) =\(\dfrac{8}{4}=2\)

d) = \(\sqrt{2}+5-\sqrt{2}\)  = 5

e)= 3\(\sqrt{2x}-10\sqrt{2x}+21\sqrt{2x}\) = 14\(\sqrt{2x}\)

f) =\(\sqrt[3]{3^3}+\sqrt[3]{5^3}-\sqrt[3]{4^3}\)= 3 + 5 - 4 = 4