Adding and Subtracting Radicals

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, most commonly the square root.

Tags

CCSS.8.NS.A.1

Front

How do you add radicals with the same index and radicand?

Back

You can add radicals with the same index and radicand by adding their coefficients.

Front

What is the result of 2√5 + 4√5?

Back

6√5

Front

How do you subtract radicals with the same index and radicand?

Back

You can subtract radicals with the same index and radicand by subtracting their coefficients.

Front

What is the result of (3√6) + (4√6)?

Back

7√6

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the result of 3√2 - 3√18?

Back

-6√2

Front

How do you simplify √18 - √8?

Back

First, simplify √18 to 3√2 and √8 to 2√2, then subtract to get √2.

Front

What is the result of √300 + √75?

Back

15√3

Front

What is the process to simplify √a + √b?

Back

You can only combine √a + √b if a and b are the same or can be simplified to the same radical.