Express the following surds as pure surds.

(i) $\sqrt[4]{5}$

(ii) $\sqrt[3]{6}$

(iii) $\frac{4}{3}\sqrt{6}$

(iv) $5\sqrt[3]{5}$

(v) $2\sqrt[4]{3}$

Q. Express the following surds as mixed surds in the simplest form.

(i) $\sqrt{27}$

(ii) $\sqrt{50}$

(iii) $\sqrt[3]{40}$

(iv) $\sqrt[4]{32}$

(v) $\sqrt[5]{15625}$

Q. State which of the following are pure surds and mixed surds:

(i) $\sqrt[5]{7}$

(ii) $\sqrt{21}$

(iii) $\sqrt[3]{34}$

(iv) $\frac{3}{4}\sqrt{8}$

(v) $\sqrt{1350}$

(vi) $5\sqrt[3]{135}$

(vii) $\sqrt[10]{3}$

(viii) $\sqrt{9.3}$

(ix) $\sqrt{0.4}$

(x) $\sqrt{\frac{49}{10}}$

Q. State the order of the following surds.
(i) $\sqrt{101}$

(ii) $\sqrt[3]{5}$

(iii) $\sqrt[4]{29}$

(iv) $\sqrt[4]{7}$

(v) $\sqrt[7]{4^3}$

Q. State which of the following are surds. Justify.

(i) $\sqrt[3]{7}$

(ii) $\sqrt[4]{0.16}$

(iii) $\sqrt[]{\sqrt[3]{8}}$

(iv) $\sqrt{-5}$

(v) $\frac{1}{\sqrt{15}}$

(vi) $\sqrt{0.333}$

(vii) $\sqrt{576}$

(viii) $\sqrt{\frac{5}{4}}$

(ix) $\sqrt{\frac{22}{7}}$

(x) $\sqrt[3]{2+\sqrt{9}}$

Q. Write the order of the following surds:

(i) $\sqrt{50}$

(ii) $\sqrt[3]{5}$

(iii) $\sqrt{{31}^{\frac{1}{3}}}$

(iv) ${}^3\sqrt{(9{)}^2}$

(v) $\sqrt[4]{\frac{31}{50}}$