Cube Root of a Cube Number

Q. Find the cube root of each of the following integers :

$\left(iii\right)-2744000$

Q.

Find the cube root of 1.728

1. 0.12

2. 0.102

3. 0.012

4. 1.2

Q. Cube root of 226981 is

1. 71
2. 61
3. 51

Q.

Find the cube root of 216 × 729.

1. 54

2. 9

3. 6

4. 51

Q. Find the units digit of the cube root of the following numbers:​
​(iii) $571787$

Q. Find the cube root of 74088 by prime factorization.

Q. Find the cube root of each of the following integers :

$\left(ii\right)-5832$

Q. Find the cube root of each of the following rational numbers:

ii) $0.003375$

Q.

Question 84

State whether the following statement is true or false:

$\sqrt[3]{38+27}=\sqrt[3]{38}+\sqrt[3]{327}$

Q. Find the cube root of each of the following integers :

$\left(v\right)-32678$

Q. Find the cube root of each of the following numbers by prime factorisation method.

(i) 64
(ii) 512
(iii) 10648
(iv) 27000

Q. Find the units digit of the cube root of the following numbers:​
​(i) $226981$

Q. $8^2$ = __________ ( as a perfect cube)
and $2^2$ = _____________ ( as cube root)

1. $4^3$, $\sqrt[3]{364}$
2. $4^3$, $\sqrt[3]{38}$
3. $2^3$, $\sqrt[3]{316}$
4. $4^3$, $\sqrt[3]{336}$

Q. The cube root of 2, 744 is:

1. 12
2. 16
3. 14
4. 18

Q.

Find the cube root of 4096 .

1. 44

2. 16

3. 24

4. 34

Q. What is the cube root of $49\times 56$?

1. 14
2. 12
3. 16
4. 7

Q. The number of zeros in the cube root of the number 27000 is:

1. 2
2. 3
3. 1
4. 0

Q.

Find the cube root of each of the following numbers by prime factorisation method.

1. 175616 (2) 91125

Q. How many perfect cubes are there between $500$ and $1000?$

Q. The number of zeros in the cube root of the number 27000 is:

1. 1
2. 2
3. 0
4. 3

Q. Find the cube root of 91125 using prime factorization.

Q.

The value of $\sqrt[3]{3125}+(3{)}^3$ is

1. 24
2. 34
3. 27
4. 32

Q.

Which of the following are not perfect cubes?
(i) $216$
(ii) $128$
(iii) $1000$
(iv) $100$
(v) $46656$

Q. The unit digit of the cube root of the number 2197 is ______.

1. 1
2. 9
3. 3
4. 7

Q. Find the cube root of the following numbers by prime factorization.
a. $110592$ b. $54872$

Q. $\sqrt[3]{3729}+(3{)}^3$ = ________

1. $6^3$
2. $2^5$
3. $6^2$
4. $2^6$

Q.

Find the cube of $\frac{x}{4}+\frac{4y}{3}$

1. $\frac{x^3}{64}+\frac{64y^3}{27}+3xy(\frac{x}{4}+\frac{4y}{3})$

2. $\frac{x^3}{64}+\frac{64y^3}{27}+xy(\frac{x}{4}+\frac{4y}{3})$

3. $\frac{x^3}{64}+\frac{64y^3}{27}-xy(\frac{x}{4}+\frac{4y}{3})$

4. $\frac{x^3}{64}+\frac{64y^3}{27}-3xy(\frac{x}{4}+\frac{4y}{3})$

Q. Cube root of 658503 =

1. 87
2. 97
3. 77

Q. If the unit digit of a number is 2, the unit digit of the cube root of the number is 8.

1. True
2. False

Q.

Find the cube root of $729\times 216$.