# Square Root of a Negative Number - Examples, Exercises and Solutions

## Square Root of a Negative Number

There is no root of a negative number since any positive number raised to the second power will result in a positive number.

## Examples with solutions for Square Root of a Negative Number

### Exercise #1

Choose the largest value

### Step-by-Step Solution

Let's calculate the numerical value of each of the roots in the given options:

$\sqrt{25}=5\\ \sqrt{16}=4\\ \sqrt{9}=3\\$and it's clear that:

5>4>3>1 Therefore, the correct answer is option A

### Answer

$\sqrt{25}$

### Exercise #2

$\sqrt{441}=$

### Step-by-Step Solution

The root of 441 is 21.

$21\times21=$

$21\times20+21=$

$420+21=441$

### Answer

$21$

### Exercise #3

$(\sqrt{380.25}-\frac{1}{2})^2-11=$

### Step-by-Step Solution

According to the order of operations, we'll first solve the expression in parentheses:

$(\sqrt{380.25}-\frac{1}{2})=(19.5-\frac{1}{2})=(19)$

In the next step, we'll solve the exponentiation, and finally subtract:

$(19)^2-11=(19\times19)-11=361-11=350$

350

### Exercise #4

$\sqrt{64}=$

8

### Exercise #5

$\sqrt{36}=$

6

### Exercise #6

$\sqrt{49}=$

7

### Exercise #7

$\sqrt{121}=$

11

### Exercise #8

$\sqrt{100}=$

10

### Exercise #9

$\sqrt{144}=$

12

### Exercise #10

$\sqrt{x}=1$

1

### Exercise #11

$\sqrt{36}=$

6

### Exercise #12

$\sqrt{16}=$

4

### Exercise #13

$\sqrt{x}=2$

4

### Exercise #14

$\sqrt{9}=$

3

### Exercise #15

$\sqrt{4}=$

2

### Topics learned in later sections

1. What is a square root?