Do Now: 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, cube root, etc. For example, √5 is a radical expression.

Front

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

Back

You can add radical expressions with the same index and radicand by combining their coefficients. For example, 2√5 + 4√5 = (2 + 4)√5 = 6√5.

Front

What is the result of (3√6) + (4√6)?

Back

7√6

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. Examples include 1, 4, 9, 16, etc.

Front

Which of the following is a perfect square: 2, 4, 6, 8, 10?

Back

4 is a perfect square.

Front

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

Back

You can subtract radical expressions with the same index and radicand by subtracting their coefficients. For example, (5√7) - (11√7) = (5 - 11)√7 = -6√7.

Front

What is the result of (5√7) - (11√7)?

Back

-6√7

Front

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

Back

√7

Front

What is the index of a radical expression?

Back

The index of a radical expression indicates the degree of the root. For example, in √x, the index is 2 (square root), and in ∛x, the index is 3 (cube root).

Front

What does it mean for radical expressions to be like terms?

Back

Radical expressions are like terms if they have the same index and radicand. For example, 2√3 and 5√3 are like terms, but 2√3 and 2√5 are not.