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3 years ago

What is the cube root of 3?

Mathematics

2 answers:

Ratling [72]3 years ago

8 0

Hello!

Answer:

1.44224957031 is your exact answer

Step-by-step explanation:

Number (x)

Cube of Number (x3)

1×1×1 = 1

2×2×2 = 8

3×3×3 = 27

4×4×4 = 64

5×5×5 = 125

6×6×6 = 216

7×7×7 = 343

8×8×8 = 512

9×9×9 = 729

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

1.000

1.260

1.442

1.587

1.710

1.817

1.913

2.000

2.080

2.154

2.224

2.289

2.351

2.410

2.466

Hope this helps have a wonderful day! <3

PtichkaEL [24]3 years ago

7 0

The cube root of 3 is 1.44224957031

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