Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which two integers is $\sqrt[3]{67}$ between? $\newline$ Choices: $\newline$ (A) $4$ and $5$ $\newline$ (B) $7$ and $8$ $\newline$ (C) $5$ and $6$ $\newline$ (D) $13$ and $14$

View step-by-step help

View step-by-step help

Estimate cube roots

Full solution

Q. Which two integers is

\sqrt[3]{67}

between?

\newline

Choices:

\newline

(A)

4

and

5

\newline

(B)

7

and

8

\newline

(C)

5

and

6

\newline

(D)

13

and

14

Calculate Perfect Cubes: Calculate the perfect cubes near $67$ to find the range for the cube root. $\newline$ - $4^3 = 64$ $\newline$ - $5^3 = 125$
Determine Cube Root: Determine the cube root of $64$ and $125$ to find the integers between which cube root of $67$ lies. $\newline$ - Cube root of $64$ is $4$ . $\newline$ - Cube root of $125$ is $5$ .
Compare with Perfect Cubes: Compare $67$ with the perfect cubes. $\newline$ - $64 < 67 < 125$ $\newline$ - Therefore, $4 < \sqrt[3]{67} < 5$ .

More problems from Estimate 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