Simplifying Radical Expressions

Front

What is a radical expression?

Back

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

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 removing perfect squares or cubes from under the radical sign.

Front

What is the square root of 121?

Back

The square root of 121 is 11.

Front

How do you simplify √(a^2)?

Back

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

Front

What is the product property of square roots?

Back

The product property states that √(a * b) = √a * √b.

Front

What is the quotient property of square roots?

Back

The quotient property states that √(a / b) = √a / √b, provided b is not zero.

Front

How do you simplify √(p^5)?

Back

√(p^5) simplifies to p^2√p.

Front

What is the simplified form of √(r^7)?

Back

√(r^7) simplifies to r^3√r.

Front

What is the simplified form of √(s^4)?

Back

√(s^4) simplifies to s^2.

Front

How do you combine simplified radical expressions?

Back

You can combine simplified radical expressions by adding or subtracting them if they have the same radical part.