Adding and Subtracting Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to represent the root of a number, most commonly the square root (√) or cube root (∛).

Tags

CCSS.8.NS.A.1

Front

How do you simplify the expression √20?

Back

√20 can be simplified to 2√5 because 20 = 4 * 5 and √4 = 2.

Front

What is the process for adding radicals?

Back

To add radicals, they must have the same index and radicand. If they do, you can add the coefficients of the radicals.

Front

What is the result of √5 + √20?

Back

The result is 3√5 after simplifying √20 to 2√5 and combining like terms.

Front

How do you subtract radicals?

Back

Similar to addition, you can only subtract radicals with the same index and radicand by subtracting their coefficients.

Front

What is the cube root of 8?

Back

The cube root of 8 is 2, since 2 * 2 * 2 = 8.

Tags

CCSS.8.EE.A.2

Front

What does it mean for radicals to be like terms?

Back

Radicals are like terms if they have the same index and radicand, allowing them to be combined.

Front

How do you simplify the expression 3√2 + 5√2?

Back

You combine the coefficients to get 8√2.

Front

What is the value of -3∛2?

Back

-3∛2 is simply the expression itself, representing the negative three times the cube root of two.

Tags

CCSS.HSN.RN.A.2

Front

What is the simplified form of 14√2?

Back

14√2 is already in its simplest form.