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Which two integers is $\sqrt[3]{86}$ between? $\newline$ Choices: $\newline$ (A) $4$ and $5$ $\newline$ (B) $5$ and $6$ $\newline$ (C) $17$ and $18$ $\newline$ (D) $10$ and $11$

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Estimate cube roots

Full solution

Q. Which two integers is

\sqrt[3]{86}

between?

\newline

Choices:

\newline

(A)

4

and

5

\newline

(B)

5

and

6

\newline

(C)

17

and

18

\newline

(D)

10

and

11

Calculate perfect cubes: Calculate the perfect cubes near $86$ to find the range for the cube root.
Determine cube roots: Determine the cube roots of $64$ and $125$ to find the integers between which the cube root of $86$ falls.
Compare cube roots: Compare the cube root of $86$ with the cube roots of $64$ and $125$ .

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