How to find the cube and cubic root of a number

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Examples

Lessons

Understanding the negative cube roots of the following
1. ${^3}\sqrt{27}$
  - ${^3}\sqrt{27}$
  ${^3}\sqrt{-27}$
Find the cube roots
1. ${^3}\sqrt{-4913}$
2. ${^3}\sqrt{1331}$
3. $-{^3}\sqrt{2197}$

Practice

Topic Notes

Whenever we see "roots", let it be cubic roots or square roots, we know for sure that we will need to do prime factorization to find out the prime factors of the numbers. In this section, we use factors and multiples to find perfect cube whole numbers and cubic roots.

To cube:

Raise the number to the third power

Ex:

{3^3}

= 3\times 3\times 3 = 27

{6^3}

6\times 6\times 6 = 216

To cube root:

Finding the three identical factors

Ex:

{^3}\sqrt{64}

{^3}\sqrt{4\times 4\times 4}

= 4

{^3}\sqrt{125}

{^3}\sqrt{5\times 5\times 5}

= 5

Perfect Cubes:

{0^3}

= 0

{1^3}

= 1

{2^3}

= 8

{3^3}

= 27

{4^3}

= 64

{5^3}

= 125

{6^3}

= 216

{7^3}

= 343

{8^3}

= 512

{9^3}

= 729

{10^3}

= 1000

Basic Concepts

Squares and square roots
Estimating square roots
Prime factorization
Square and square roots

Cubic and cube roots

Examples

Lessons

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Topic Notes

Basic Concepts

Cubic and cube roots

Lessons

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