Question
State, giving reason, whether the given number is rational or irrational:
(i)[$(3+\sqrt{5})$, (ii)$(-1+\sqrt{3})$, (iii )$5 \sqrt{6}$, (iv )$-\sqrt{7}$, (v )$\frac{\sqrt{6}}{4}$, (vi) $\frac{3}{\sqrt{2}}$, (vii) $(3+\sqrt{3})(3-\sqrt{3})$]
(i)[$(3+\sqrt{5})$, (ii)$(-1+\sqrt{3})$, (iii )$5 \sqrt{6}$, (iv )$-\sqrt{7}$, (v )$\frac{\sqrt{6}}{4}$, (vi) $\frac{3}{\sqrt{2}}$, (vii) $(3+\sqrt{3})(3-\sqrt{3})$]