Chapter J, Problem 1DE

Find the square roots.

$9$

To determine

To calculate: The square roots of the number $9$.

Answer to Problem 1DE

Solution:

The square roots of $9$ are $\underset{\_}{3}$ and $\underset{\_}{-3}$.

Explanation of Solution

Given Information:

The expression is $9$.

Formula used:

Square root: If $c$ is a square of the number $a$ that is $a^2=c$ then $a$ will be square root of $c$.

The properties of square root:

If the number is real and positive then there will be two real square root.

If the number is negative and real then there won’t be any real root for the number.

Zero has square root itself that is $0$.

Calculation:

Consider the number.

$9$

The square of the number $3$ is 9:

$\begin{array}{c}3\cdot 3=3^2\\ =9\end{array}$

Therefore, 3 is square root of 9.

The square of the number $-3$ is $9$:

$\begin{array}{c}\left(-3\right)\cdot \left(-3\right)=3^2\\ =9\end{array}$

Therefore, $-3$ is square root of 9.

Therefore, the square roots of $9$ are $3$ and $-3$.