Radical Expressions and Rational Exponents

Front

What is the definition of a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc.

Front

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in a simpler form, often by reducing the radicand or removing the radical sign if possible.

Front

Rewrite the expression √(x^2) in exponential form.

Back

x

Front

What is the radicand in the expression √(25)?

Back

25

Front

What is the relationship between rational exponents and radical expressions?

Back

Rational exponents can be used to express radical expressions; for example, x^(1/2) is equivalent to √x.

Front

Simplify the expression √(49).

Back

7

Front

What is the value of 1/√(25)?

Back

1/5

Front

Rewrite the expression 8^(1/3) in radical form.

Back

∛8

Front

What is the value of √(x^4)?

Back

x^2 (for x ≥ 0)

Front

If a^m * a^n = a^(m+n), what is this property called?

Back

The Product of Powers Property.