2.4 Evaluate Square Roots and Cube Roots

MATHEMATICS OBJECTIVE

Students will be able to:

find square roots and cube roots of rational numbers.

ESSENTIAL UNDERSTANDING

Finding the square root is the inverse operation of squaring a number. Finding the cube root is the inverse operation of cubing, which is raising a number to the third power.

2.4 Blank Notes

2.4 Filled Notes

I can find the square root and cube root of rational numbers.

The cube root of a number is a number whose cube is equal to that number.

∛125 = ∛(5 × 5 × 5) = ∛(5^3) = 5

Cubing a number and taking the cube root of the number are inverse operations.

The square root of a number is a number whose square is equal to that number.

√4 = √(2 × 2) = √(2^2) = 2

Squaring a number and taking the square root of the number are inverse operations.

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