Which two integers is root(3) 67 between? Choices: (A)4 and 5 (B)7 and 8 (C)5 and 6 (D)13 and 14

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

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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 $14$

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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.