91Ó°ÊÓ

Q. 270

Page 810

In the following exercises, rationalize the denominator.

$$\begin{gathered} a)\frac{1}{\sqrt[4]{8}} \\ b)\sqrt[4]{\frac{27}{128}} \\ c)\frac{16}{\sqrt[4]{64b^2}} \end{gathered}$$

Q. 271

Page 811

In the following exercises, simplify.

$\frac{8}{1-\sqrt{5}}$

Q. 272

Page 811

In the following exercises, simplify.

$\frac{7}{2-\sqrt{6}}$

Q. 273

Page 811

In the following exercises, simplify.

$\frac{6}{3-\sqrt{7}}$

Q. 274

Page 811

In the following exercises, simplify.

$\frac{5}{4-\sqrt{11}}$

Q. 275

Page 811

In the following exercises, simplify.

$\frac{\sqrt{3}}{\sqrt{m}-\sqrt{5}}$

Q. 276

Page 811

In the following exercises, simplify.

$\frac{\sqrt{5}}{\sqrt{n}-\sqrt{7}}$

Q. 277

Page 811

In the following exercises, simplify.

$\frac{\sqrt{2}}{\sqrt{x}-\sqrt{6}}$

Q. 278

Page 811

In the following exercises, simplify.

$\frac{\sqrt{7}}{\sqrt{y}+\sqrt{3}}$

Q. 279

Page 811

In the following exercises, simplify.

$\frac{\sqrt{r}+\sqrt{5}}{\sqrt{r}-\sqrt{5}}$