Hello!
Answer:
1.44224957031 is your exact answer
Step-by-step explanation:
Number (x)
Cube of Number (x3)
1
1×1×1 = 1
2
2×2×2 = 8
3
3×3×3 = 27
4
4×4×4 = 64
5
5×5×5 = 125
6
6×6×6 = 216
7
7×7×7 = 343
8
8×8×8 = 512
9
9×9×9 = 729
10
10×10×10 = 1000
Steps to find Cube Root Easily
Now, let us figure out the value of 3√3, step by step.
Let us assume the cube root of 3 is equal to x.
Then, x = 3√3
As we know,
13 = 1 and 23 = 8
Hence, x lies between 1 and 8. But, it lies closer to number 1 than 8, if we see in a number line. Hence, we can assume a value, say 1.4, which could be approx to the cube root of 3.
Now to determine the value of 3√3, we need to divide 3 by the estimated value.
Divide 3 by 1.4.
3/1.4 = 2.1428
Again, divide this value by 1.4.
2.1428/1.4 = 1.53
Now, take the average of 1.4, 1.4 and 1.53 to get a value of 3√3.
(1.4+1.4+1.53)/3 = 1.44
The actual value of 3√3 is 1.442249.
Hence, 1.44 is approximately equal to 1.442249.
Cube Root Lists
Below is the table for the cube root of numbers from 1 to 25.
Number
Cube root ∛a
1
1.000
2
1.260
3
1.442
4
1.587
5
1.710
6
1.817
7
1.913
8
2.000
9
2.080
10
2.154
11
2.224
12
2.289
13
2.351
14
2.410
15
2.466
Hope this helps have a wonderful day! <3
