Add & Subtract 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.

Front

How do you add radical expressions with the same index and radicand?

Back

You combine the coefficients of the radicals. For example, 3√2 + 2√2 = (3+2)√2 = 5√2.

Front

What is the first step in simplifying √a + √b?

Back

Check if a and b can be simplified further. If they cannot, they cannot be combined.

Front

What is the simplified form of √27?

Back

√27 = √(9*3) = 3√3.

Front

How do you subtract radical expressions?

Back

Similar to addition, subtract the coefficients of the radicals with the same index and radicand.

Front

What is the simplified form of √20?

Back

√20 = √(4*5) = 2√5.

Front

What is the result of 4√7 - 10√7 + 7√7?

Back

The result is √7.

Front

What is the simplified form of √5 + √20?

Back

The simplified form is 3√5.

Front

How do you combine like terms in radical expressions?

Back

Only combine radicals that have the same radicand. For example, 2√3 + 3√3 = 5√3.

Front

What is the simplified form of √98 + 5√2?

Back

The simplified form is 12√2.