Adding and Subtracting Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root (√) or cube root (∛).

Front

How do you simplify √a + √b?

Back

You can only combine √a + √b if a and b are perfect squares or if they can be factored to have a common radical.

Front

What is the process to add radical expressions?

Back

To add radical expressions, simplify each radical, then combine like terms.

Front

What is the value of √300 + √75?

Back

15√3.

Front

How do you simplify 5√75 + 8√27?

Back

Combine like terms to get 49√3.

Front

What is the simplified form of 3√2 - 3√18?

Back

-6√2.

Front

How do you simplify -2√2 - 3√8 - √5?

Back

The simplified form is -8√2 - √5.

Front

What is the result of 3√6 + 3√2 - 5√6 - 2√2?

Back

The result is -2√6 + √2.

Front

What does it mean to combine like radicals?

Back

Combining like radicals means adding or subtracting radicals that have the same index and radicand.

Front

What is the first step in simplifying a radical expression?

Back

Factor the number under the radical to find perfect squares.