WU Simplifying Radicals

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, such as a square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect squares or cubes from under the radical sign.

Front

What is the cube root of a number?

Back

The cube root of a number x is a value y such that y^3 = x.

Tags

CCSS.8.EE.A.2

Front

How do you simplify the cube root of a product?

Back

Use the property: ∛(a * b) = ∛a * ∛b, where a and b are non-negative.

Front

What is the simplified form of ∛(a^3)?

Back

The simplified form is a, since the cube root and the cube cancel each other out.

Front

How do you simplify ∛(189)?

Back

∛(189) = ∛(27 * 7) = ∛27 * ∛7 = 3∛7.

Front

What is the simplified form of ∛(32)?

Back

∛(32) = ∛(8 * 4) = ∛8 * ∛4 = 2∛4.

Tags

CCSS.8.EE.A.2

Front

What is the process to simplify √(72)?

Back

√(72) = √(36 * 2) = √36 * √2 = 6√2.

Front

What is the simplified form of -5√(75)?

Back

-5√(75) = -5√(25 * 3) = -5 * 5√3 = -25√3.

Front

How do you express the cube root of a negative number?

Back

The cube root of a negative number is negative, e.g., ∛(-x) = -∛x.

Tags

CCSS.8.EE.A.2