Cube Root by Estimation Method


 
 
Concept Explanation
 

Cube Root by Estimation Method

We can estimate cube roots of the given number with the help of the following table:

x sqrt[3]{x} x sqrt[3]{x} x sqrt[3]{x} x sqrt[3]{x} x sqrt[3]{x}
1 1 9 2.080 17 2.571 25 2.924 33 3.208
2

1.260

10 2.154 18 2.621 26 2.962 34 3.240
3 1.442 11 2.224 19 2.668 27 3.000 35 3.271
4 1.587 12 2.289 20 2.714 28 3.037 36 3.302
5

1.710

13 2.351 21 2.759 29 3.072 37 3.332
6 1.817 14 2.410 22 2.802 30 3.107 38 3.362
7 1.913 15 2.466 23 2.844 31 3.141 39 3.391
8 2.000 16 2.520 24 2.884 32 3.175 40 3.420

Illustration: Using the table, estimate the cube root of 39.

Solution: In sqrt[3]{39}, the value of x is 39.The number against 39,under the column sqrt[3]{x} is 3.391

Hence sqrt[3]{x} =  3.391

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Sample Questions
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Question : 1

The cube root of 1.331 is __________________ .

Right Option : D
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Question : 2

The cube root of 0.001728 is __________________.

Right Option : A
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Question : 3

Using the table, estimate the cube root of 15 and find the digit just after the decimal.

Right Option : C
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