# Rules of Roots - Examples, Exercises and Solutions

## What is a root?

• A root is the inverse operation of a power.
• It is denoted with the symbol $√$ and is equal to a power of $0.5$.
• If a small number appears on the left, it will be the order of the root.

## Practice Rules of Roots

### Exercise #1

Solve the following exercise:

$\sqrt{\frac{2}{4}}=$

### Video Solution

$\frac{1}{\sqrt{2}}$

### Exercise #2

Solve the following exercise:

$\sqrt{30}\cdot\sqrt{1}=$

### Video Solution

$\sqrt{30}$

### Exercise #3

Solve the following exercise:

$\sqrt{25x^4}=$

### Video Solution

$5x^2$

### Exercise #4

Solve the following exercise:

$\sqrt{1}\cdot\sqrt{25}=$

### Video Solution

$5$

### Exercise #5

Choose the largest value

### Video Solution

$\sqrt{25}$

### Exercise #1

Solve the following exercise:

$\sqrt{1}\cdot\sqrt{2}=$

### Video Solution

$\sqrt{2}$

### Exercise #2

Solve the following exercise:

$\sqrt{16}\cdot\sqrt{1}=$

### Video Solution

$4$

### Exercise #3

Solve the following exercise:

$\sqrt{\frac{225}{25}}=$

3

### Exercise #4

Solve the following exercise:

$\sqrt{2}\cdot\sqrt{5}=$

### Video Solution

$\sqrt{10}$

### Exercise #5

Solve the following exercise:

$\sqrt{100x^2}=$

### Video Solution

$10x$

### Exercise #1

Solve the following exercise:

$\sqrt{16x^2}=$

### Video Solution

$4x$

### Exercise #2

Solve the following exercise:

$\sqrt{10}\cdot\sqrt{3}=$

### Video Solution

$\sqrt{30}$

### Exercise #3

Solve the following exercise:

$\sqrt{5}\cdot\sqrt{5}=$

### Video Solution

$5$

### Exercise #4

Solve the following exercise:

$\sqrt{25x^2}=$

### Video Solution

$5x$

### Exercise #5

Solve the following exercise:

$\sqrt{2}\cdot\sqrt{3}=$

### Video Solution

$\sqrt{6}$