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Find the cube root of the following natural number 2744 . - Mathematics

Sum

Find the cube root of the following natural number 2744 .

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Solution

Cube root using units digit:
Let us consider 2744.
The unit digit is 4; therefore, the unit digit in the cube root of 2744 is 4.
After striking out the units, tens and hundreds digits of the given number, we are left with 2.
Now, 1 is the largest number whose cube is less than or equal to 2.
Therefore, the tens digit of the cube root of 2744 is 1.
Hence, 

\[\sqrt[3]{2744} = 14\]

 

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 4 Cubes and Cube Roots
Exercise 4.3 | Q 4.02 | Page 22
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