1.4 - Simplifying Radical Expressions

Front

What is the fractional exponent representation of √7?

Back

7^(1/2)

Front

Simplify: 8x^9

Back

8x^9

Front

Simplify: 8x^3√x

Back

8x^4√x

Front

Simplify: x²y√xy

Back

x²y√xy

Front

Simplify: 5√2

Back

5√2

Front

What is the square root of 25x^6?

Back

5x^3

Front

Define a radical expression.

Back

An expression that includes a root, such as a square root or cube root.

Front

What is the index of a radical?

Back

The index indicates the degree of the root; for example, in √x, the index is 2.

Front

How do you simplify √(a^2)?

Back

√(a^2) = a, assuming a is non-negative.

Front

What is the product property of square roots?

Back

√(a) * √(b) = √(ab) for non-negative a and b.