###### Advertisements

###### Advertisements

Find the cube root of the following number.

729

###### Advertisements

#### Solution

To find the cube root of 729, let us factorise 729 first.

729 = 3 × 3 × 3 × 3 × 3 × 3

729 = (3 × 3) × (3 × 3) × (3 × 3) = (3 × 3)^{3} = 9^{3}

∴ `root(3)(729) = 9`

#### APPEARS IN

#### RELATED QUESTIONS

If square of a number ends with 5, then its cube ends with 25.

The cube of a two-digit number may be a three-digit number.

The cube of a two-digit number may have seven or more digits.

Find the cube of:

Find the cube of 0.08 .

Find the cube of 2.1 .

Find which of the following number is cube of rational number 0.001331 .

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

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)`

Simplify:

`root(3)(16/54)`

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.

32768

Find the cube of:11

Find the cube of: 42

Find the cube of: 0.4

Find the cube of: 2.5

Find the cube of: 0.8

Find the cube of: `8/9`

Find the cube of: -3

Find the cube of: -18

Find the cubes of: -25

Find the cube of: -50

Find the cube of 17.

Find the cube of (-6).

Find the cube of `(-2/5)`.

Find the cube of (0.02).

One's digit in the cube of 38 is ______.

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