Mixed or Impure Surds

Q.

Express the following mixed surd in the form of a pure surd.

$5\sqrt{10}$

1. $\sqrt{250}$
2. $\sqrt{625}$
3. $\sqrt{6250}$
4. $\sqrt{2500}$

Q.

Express the following mixed surd in the form of a pure surd.

$4\sqrt[3]{35}$

1. $\sqrt[3]{3250}$
2. $\sqrt[3]{3625}$
3. $\sqrt[3]{3320}$
4. $\sqrt[3]{31250}$

Q. State whether it is a pure surd or mixed surd $\sqrt{1350}$

1. Mixed surd
2. None of the above
3. Pure surd
4. Not a surd

Q. Express $\sqrt[4]{4243}$ as a mixed surd

Q. $5\sqrt{7}+9\text{is an irrational number.}$

1. True
2. False

Q.

Express the following mixed surd in the form of a pure surd.

$5\sqrt[4]{410}$

1. $\sqrt[4]{46250}$

2. $\sqrt[4]{4250}$

3. $\sqrt[4]{425}$

4. $\sqrt[4]{41250}$