Cube Root by Estimation Method
Cube Root by Estimation Method
We can estimate cube roots of the given number with the help of the following table:
| x | x | x | x | 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 , the value of x is 39.The number against 39,under the column
is 3.391
Hence = 3.391
Using the table, estimate the cube root of 15 and find the digit just after the decimal. | |||
| Right Option : C | |||
| View Explanation | |||
Find the digit from extreme right in decimal part while finding the cube root of 21 using table. | |||
| Right Option : A | |||
| View Explanation | |||
Using the table estimate the cube root of 37.45(Up to three decimal places). | |||
| Right Option : A | |||
| View Explanation | |||
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