Which two integers is root(3) 94 between? Choices: (A)13 and 14 (B)8 and 9 (C)4 and 5 (D)5 and 6

Identify Perfect Cubes: Step 1: Identify the perfect cubes near 94. Find the perfect cubes just below and just above 94. The perfect cube just below 94 is 64 (4^3 = 64). The perfect cube just above 94 is 125 (5^3 = 125).Calculate Cube Roots: Step 2: Calculate the cube roots of 64 and 125. Calculate root(3)(64) = 4. Calculate root(3)(125) = 5.Determine Integer Range: Step 3: Determine between which integers root(3)(94) falls. Since root(3)(64) = 4 and root(3)(125) = 5, root(3)(94) is between 4 and 5.

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Which two integers is $\sqrt[3]{94}$ between? $\newline$ Choices: $\newline$ (A) $13$ and $14$ $\newline$ (B) $8$ and $9$ $\newline$ (C) $4$ and $5$ $\newline$ (D) $5$ and $6$

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Q. Which two integers is

\sqrt[3]{94}

between?

\newline

Choices:

\newline

(A)

13

and

14

\newline

(B)

8

and

9

\newline

(C)

4

and

5

\newline

(D)

5

and

6

Identify Perfect Cubes: Step $1$ : Identify the perfect cubes near $94$ . Find the perfect cubes just below and just above $94$ . The perfect cube just below $94$ is $64$ ( $4^3 = 64$ ). The perfect cube just above $94$ is $125$ ( $5^3 = 125$ ).
Calculate Cube Roots: Step $2$ : Calculate the cube roots of $64$ and $125$ .\ Calculate $\sqrt[3]{64} = 4$ .\ Calculate $\sqrt[3]{125} = 5$ .
Determine Integer Range: Step $3$ : Determine between which integers $\sqrt[3]{94}$ falls. $\newline$ Since $\sqrt[3]{64} = 4$ and $\sqrt[3]{125} = 5$ , $\sqrt[3]{94}$ is between $4$ and $5$ .