Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Look at this equation: $\newline$ $b^3 = 125$ $\newline$ Solve for $b$ . $\newline$ $b =$ ____

View step-by-step help

View step-by-step help

Solve equations using cube roots

Full solution

Q. Look at this equation:

\newline

b^3 = 125

\newline

Solve for

b

.

\newline

b =

____

Recognize Cube Number: Step $1$ : Recognize that $125$ is a cube number. $125$ can be expressed as $5 \times 5 \times 5$ , which is $5^3$ .
Set Up Equation: Step $2$ : Set up the equation to find the cube root of $125$ . Since $b^3 = 125$ , we need to find the cube root of $125$ to solve for $b$ . $b = \sqrt[3]{125}$
Calculate Cube Root: Step $3$ : Calculate the cube root of $125$ . $\newline$ cube root of $125 = \sqrt[3]{5^3}$ $\newline$ By the property of cube roots, the cube root of a number raised to the power of three is the base number. $\newline$ $b = 5$

More problems from Solve equations using cube 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