Cube Roots Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Evaluate 83+273\sqrt[3]{8} + \sqrt[3]{27}.

Solution

  1. 1
    83=2\sqrt[3]{8} = 2 because 23=82^3 = 8. 273=3\sqrt[3]{27} = 3 because 33=273^3 = 27.
  2. 2
    Sum: 2+3=52 + 3 = 5.

Answer

55
Perfect cubes (1,8,27,64,125,…1, 8, 27, 64, 125, \ldots) have exact integer cube roots. Memorizing at least the first several perfect cubes speeds up computation.

About Cube Roots

The cube root x3\sqrt[3]{x} is the number that, when cubed, gives xx — defined for all real numbers, including negatives.

Learn more about Cube Roots →

More Cube Roots Examples

Example 1 easy

Evaluate [formula].

Example 2 medium

Simplify [formula].

Example 3 medium

Simplify [formula].

Example 5 easy

Evaluate [formula].

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