Which two integers is root(3) 102 between? Choices: (A)5 and 6 (B)4 and 5 (C)9 and 10 (D)7 and 8

Identify Perfect Cubes: Identify the perfect cubes near 102. Find the perfect cubes just below and just above 102. 64 (4^3) is below 102, and 125 (5^3) is above 102.Calculate Cube Root of 64: Calculate the cube root of 64. Since 4 * 4 * 4 = 64, the cube root of 64 is 4.Calculate Cube Root of 125: Calculate the cube root of 125. Since 5 * 5 * 5 = 125, the cube root of 125 is 5.Determine Cube Root Range: Determine between which integers the cube root of 102 falls. Since 4^3 < 102 < 5^3, it follows that 4 < cube root of 102 < 5.

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Which two integers is $\sqrt[3]{102}$ between? $\newline$ Choices: $\newline$ (A) $5$ and $6$ $\newline$ (B) $4$ and $5$ $\newline$ (C) $9$ and $10$ $\newline$ (D) $7$ and $8$

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Q. Which two integers is

\sqrt[3]{102}

between?

\newline

Choices:

\newline

(A)

5

and

6

\newline

(B)

4

and

5

\newline

(C)

9

and

10

\newline

(D)

7

and

8

Identify Perfect Cubes: Identify the perfect cubes near $102$ . Find the perfect cubes just below and just above $102$ . $64$ ( $4^3$ ) is below $102$ , and $125$ ( $5^3$ ) is above $102$ .
Calculate Cube Root of $64$ : Calculate the cube root of $64$ . Since $4 \times 4 \times 4 = 64$ , the cube root of $64$ is $4$ .
Calculate Cube Root of $125$ : Calculate the cube root of $125$ . Since $5 \times 5 \times 5 = 125$ , the cube root of $125$ is $5$ .
Determine Cube Root Range: Determine between which integers the cube root of $102$ falls. $\newline$ Since 4^3 < 102 < 5^3, it follows that 4 < \text{cube root of } 102 < 5.