MIIH 5.2.1 Add, Subtract, Simplify Radicals

Front

What is a radical in mathematics?

Back

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

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What does it mean to add radical expressions?

Back

To add radical expressions, combine like terms, which means adding radicals that have the same index and radicand.

Front

What is the result of adding √a and √a?

Back

The result is 2√a.

Front

What is the result of adding √2 and √3?

Back

The result is already simplified as √2 + √3.

Front

How do you subtract radical expressions?

Back

To subtract radical expressions, combine like terms, similar to addition.

Front

What is the result of subtracting √5 from 2√5?

Back

The result is √5.

Front

What happens when you add a radical and its negative?

Back

The result is 0, as they cancel each other out.

Front

What is the simplified form of -3√6 + 3√6?

Back

The simplified form is 0.

Front

How do you simplify -11√21 - 11√21?

Back

Combine the coefficients: -11 - 11 = -22, so the result is -22√21.