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Which two integers is $\sqrt[3]{36}$ between? $\newline$ Choices: $\newline$ (A) $7$ and $8$ $\newline$ (B) $3$ and $4$ $\newline$ (C) $9$ and $10$ $\newline$ (D) $8$ and $9$

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Estimate cube roots

Full solution

Q. Which two integers is

\sqrt[3]{36}

between?

\newline

Choices:

\newline

(A)

7

and

8

\newline

(B)

3

and

4

\newline

(C)

9

and

10

\newline

(D)

8

and

9

Calculate Perfect Cubes: Calculate the perfect cubes near $36$ to find the range for the cube root.
Determine Cube Root Range: Calculate the cube root of $27$ and $64$ to determine the integers between which the cube root of $36$ falls.
Compare Cube Roots: Compare the cube root of $36$ with the cube roots of $27$ and $64$ .

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