Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $g$ . $\newline$ $16 = g^2$ $\newline$ $g =$ _ or _

View step-by-step help

View step-by-step help

Solve equations using square roots

Full solution

Q. Solve for

g

.

\newline

16 = g^2

\newline

g =

_____ or _____

Recognize equation form: Recognize the equation form. $16 = g^2$ is a basic quadratic equation where $g^2$ means $g$ squared.
Apply square root: Apply the square root to both sides. $\newline$ $\sqrt{16} = \sqrt{g^2}$ $\newline$ This step helps to simplify the equation by removing the square, making $g$ by itself.
Calculate square root: Calculate the square root. $\sqrt{16} = 4$ and $\sqrt{g^2} = g$ or $-g$ We get two values because squaring a positive or negative number gives a positive result.
Write final answer: Write the final answer. $\newline$ $g = 4$ or $g = -4$ $\newline$ These are the solutions to the equation.

More problems from Solve equations using square roots

Question

\sqrt{49}

?

\newline

Posted 1 month ago

Question

Complete the following statement. Use the integers that are closest to the number in the middle.

\newline

<

\sqrt{40}

<

Posted 1 month ago

Question

-\sqrt{64}

\newline

Posted 2 months ago

Question

\sqrt[3]{27}

Posted 1 month ago

Question

Which two integers is

-\sqrt{48}

\newline

\newline

[A]-6 \text{ and } -5

\newline

[B]5 \text{ and } 6

\newline

[C]-7 \text{ and } -6

\newline

[D]6 \text{ and } 7

Posted 6 days ago

Question

What is the cube root of

-64

\newline

Posted 2 months ago

Question

Which two integers is

\sqrt[3]{22}

\newline

\newline

[1 \text{ and } 2]

\newline

[15 \text{ and } 16]

\newline

[16 \text{ and } 17]

\newline

[2 \text{ and } 3]

Posted 2 months ago

Question

\newline

(\sqrt{25})^2 = \_\_\_\_\_

Posted 1 month ago

Question

Look at this equation:

\newline

c^3 = 27

\newline

\newline

c

, the cube root of

27

\newline

c =

\newline

Posted 2 months ago

Question

Write the sentence as an equation.

\newline

172

is equal to the quotient of

x

4

\newline

/

) if you want to use a division sign.

\newline

Posted 1 month ago