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Find the cube root of the following natural number 1728 . - Mathematics

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Question

Find the cube root of the following natural number 1728 .

Sum

Solution

Cube root using units digit:
Let us consider 1728.
The unit digit is 8; therefore, the unit digit in the cube root of 1728 is 2.
After striking out the units, tens and hundreds digits of the given number, we are left with 1.
Now, 1 is the largest number whose cube is less than or equal to 1.
Therefore, the tens digit of the cube root of 1728 is 1.
Hence, 

\[\sqrt[3]{1728} = 12\]

 

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Chapter 4: Cubes and Cube Roots - Exercise 4.3 [Page 22]

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RD Sharma Mathematics [English] Class 8
Chapter 4 Cubes and Cube Roots
Exercise 4.3 | Q 4.04 | Page 22

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