English

Find the Cube-root of -2744000

Advertisements
Advertisements

Question

Find the cube-root of -2744000

Sum
Advertisements

Solution

-2744000
= `root(3)(-2744000)`

2 2744000
2 1372000
2 686000
7 343000
7 49000
7 7000
10 1000
10 100
10 10
  1

 

 

 

 

 

 

 

 

 

 

= `sqrt(-2 xx -2 xx -2 xx -7 xx -7 xx -7 xx -10 xx -10 xx -10)`
= -2 x -7 x -10
= -140

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Cubes and Cube Roots - Exercise 4 (B) [Page 51]

APPEARS IN

Selina Concise Mathematics [English] Class 8 ICSE
Chapter 4 Cubes and Cube Roots
Exercise 4 (B) | Q 3.9 | Page 51

RELATED QUESTIONS

Find the smallest number by which the following number must be divided to obtain a perfect cube.

81


Find the  cubes of the number 16 .


Write the cubes of 5 natural numbers which are of the form 3n + 1 (e.g. 4, 7, 10, ...) and verify the following:
'The cube of a natural number of the form 3n + 1 is a natural number of the same form i.e. when divided by 3 it leaves the remainder 1'.


Write the cubes of 5 natural numbers of the form 3n + 2 (i.e. 5, 8, 11, ...) and verify the following:
'The cube of a natural number of the form 3n + 2 is a natural number of the same form i.e. when it is dividend by 3 the remainder is 2'.


What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

7803


What is the smallest number by which the following number must be multiplied, so that the products is perfect cube?

 35721


Write true (T) or false (F) for the following statement:

 If a2 ends in an even number of zeros, then a3 ends in an odd number of zeros.


Which of the following number is cube of negative integer - 1056 .


Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.


Find the cube root of the following integer −2744000 .


Find the cube root of the following integer −753571.


Show that: \[\sqrt[3]{- 125 \times 216} = \sqrt[3]{- 125} \times \sqrt[3]{216}\]


Making use of the cube root table, find the cube root
7000


Find if the following number is a perfect cube?
1728


Find the cube-root of `-(64)/(343)`


Find the cube-root of 2.744


If a2 ends in 9, then a3 ends in 7.


Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×