Surd

The pure surd of $\sqrt[3]{50}$ is

Match the list $\mathrm{I}$ and list $\mathrm{II}$ and select the correct answer using code given in the options:

Match the list $\mathrm{I}$ and list $\mathrm{II}$ and select the correct answer:

Which one of the following can be expressed as a mixed surd?

$$\begin{gathered} \mathrm{A}. \sqrt{242} \\ \mathrm{B}. \sqrt{28} \\ \mathrm{C}. \sqrt{5}+\sqrt{5} \\ \mathrm{D}. 2\sqrt{13} \end{gathered}$$

Which one of the following is example of compound surd?

$$\begin{gathered} \mathrm{A}. \sqrt{53} \\ \mathrm{B}. 2\sqrt{2} \\ \mathrm{C}. \sqrt{6} \\ \mathrm{D}. \sqrt{13}+\sqrt{15} \end{gathered}$$

Which of the following can be considered as pure surds?

$$\begin{gathered} \mathrm{A}. \sqrt{11} \\ \mathrm{B}. 2\sqrt{7} \\ \mathrm{C}. \sqrt{19} \\ \mathrm{D}. \sqrt{13}+\sqrt{19} \end{gathered}$$

Determine the value of $p$ from the following surd equations to its simplest form by stating its order.

$\frac{\sqrt[3]{5832}-\sqrt[3]{8}}{\sqrt[3]{64}}=p\times \sqrt[3]{64}$

Match the List $\mathrm{I}$ and List $\mathrm{II}$ and select the correct answer using the given code:

Determine the value of the following surd expression to its simplest form by stating its order.

$\frac{m}{m+1}+\sqrt{1+m^2+\frac{m^2}{{\left(m+1\right)}^2}}$ where $m\in$real number and $m\ne -1$.

Which one of the following can be expressed as a mixed surd?

$$\begin{gathered} \mathrm{A}. \sqrt{7} \\ \mathrm{B}. \sqrt{28} \\ \mathrm{C}. \sqrt{5} \\ \mathrm{D}. \sqrt{13} \end{gathered}$$

Which of the following has greatest value $\sqrt[3]{7},\sqrt[6]{15},\sqrt[4]{10}$.

Simplify the following surds: $\frac{1}{1+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+\frac{1}{\sqrt{4}+\sqrt{5}}+\dots +\frac{1}{\sqrt{8}+\sqrt{9}}$

Simplify the surd: $\frac{1+\sqrt{5}}{1-\sqrt{5}}+\frac{1-\sqrt{5}}{1+\sqrt{5}}$

Simplify the surd:

$5\surd 8 - \surd 2 + 5\surd 50 - 25/2$

Subtract$2\surd 45$ from$4\surd 20.$

 Expand the given surd:

$(2\sqrt{2}-\sqrt{6})(2\sqrt{2}+\sqrt{6})$

Rationalize the denominator of the surd $\frac{2}{\sqrt{7}-\sqrt{3}}$.

Write the expansion of the surd

$(4+3\sqrt{2}{)}^2$.

Find the product of $4\sqrt{3}$ and $2\sqrt{5}$.

Convert $\sqrt{8}0$ into mixed surd.