English

Find the Cube-root of -2197

Advertisements
Advertisements

Question

Find the cube-root of -2197.

Sum
Advertisements

Solution

-2197
= `root(3)(-2197)`

13 2197
13 169
13 13
  1

 

 

 

 

= `root(3)(-13 xx -13 xx -13)`
= -13

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 3.7 | Page 51

RELATED QUESTIONS

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

135


Which of the following is  perfect cube? 

1000


Which of the following is  perfect cube? 

1728


Which of the following is  perfect cube? 

 4608


By which smallest number must the following number be divided so that the quotient is a perfect cube?

7803


Prove that if a number is trebled then its cube is 27 times the cube of the given number.

 

Which of the following number is  not perfect cubes? 

1728


By taking three different values of n verify the truth of the following statement:

If a natural number n is of the form 3p + 2 then n3 also a number of the same type.


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

 No cube can end with exactly two zeros.


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

There is no perfect cube which ends in 4.


Show that the following integer is cube of negative integer. Also, find the integer whose cube is the given integer −5832 .

 


Find the cube root of the following natural number 2744 .


Find the cube root of the following natural number 74088000 .


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


Show that: \[\sqrt[3]{64 \times 729} = \sqrt[3]{64} \times \sqrt[3]{729}\]


Show that: 

\[\frac{\sqrt[3]{- 512}}{\sqrt[3]{343}} = \sqrt[3]{\frac{- 512}{343}}\]


Find the cube-root of -2744000


Find the cube-root of 700 × 2 × 49 × 5.


Cube roots of 8 are +2 and –2.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×