###### Advertisements

###### Advertisements

Find the cube rootsof the following number by successive subtraction of number:

1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 64 .

###### Advertisements

#### Solution

64

1

63

7

56

19

37

37

0

∵ Subtraction is performed 4 times.

∴ \[\sqrt[3]{64} = 4\]

#### APPEARS IN

#### RELATED QUESTIONS

Find the cube of \[- \frac{13}{8}\] .

Find which of the following number is cube of rational number \[\frac{125}{128}\] .

Find the cube root of the following number by successive subtraction of number:

1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, ... 1728 .

The volume of a cube is 9261000 m^{3}. Find the side of the cube.

Find the cube root of the following number 8 × 125 .

Find the cube root of the following rational number \[\frac{- 125}{729}\] .

Evaluate of the following

\[\sqrt[3]{\frac{729}{216}} \times \frac{6}{9}\]

Evaluate of the following

\[\sqrt[3]{\frac{0 . 027}{0 . 008}} \div \sqrt[]{\frac{0 . 09}{0 . 04}} - 1\]

Complete the following table.

Sr. No. | Number | Power of the root | Root of the power |

(1) | (225)^{3/2} |
Cube of square root of 225 | Square root of cube of 225 |

(2) | (45)^{4/5} |
||

(3) | (81)^{6/7} |
||

(4) | (100)^{4/10} |
||

(5) | (21)^{3/7} |

Simplify:

`root(3)(27/125)`

Find the cube root of the following number.

8000

Find the cube root of the following number.

343

Find the cube root of the following number.

-512

Find the cube root of the following number.

-2744

Find the cube root of the following number.

32768

Find the cube of: 7

Find the cube of:11

Find the cube of:23

Find the cube of:31

Find the cube of: 0.02

Find the cube of: 0.8

Find the cube of: `3/7`

Find the cube of: -18

Find the cubes of: -25

Find the cube of: -50

Find the cube of 17.

Find the cube of (1.2).

Find the cube of (0.02).

1m^{3} = ______ cm^{3}.

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.