MathematicsYou are told that 1,331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

You are told that 1,331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.

Solution:

The given number is 1331.

Let us form groups of three digits starting from the rightmost digit.

Therefore, the two groups are 1 and 331

Consider group: 331

We take the units place of the required cube root as 1

Consider group :1

Thus, $\sqrt[3]{1331} = 11$

Similarly, 4913 = 4 and 913

$∴$ $\sqrt[3]{4913} = 17$

12167 = 12 and 167

$∴$ $\sqrt[3]{12167} = 23$

32768 = 32 and 768

$∴ \sqrt[3]{32768} = 32$

Related content

Area of Square

Area of Isosceles Triangle

Pythagoras Theorem

Triangle Formula

Perimeter of Triangle Formula

Area Formulae

Volume of Cone Formula

Matrices and Determinants_mathematics

Critical Points Solved Examples

Type of relations_mathematics