Simplifying Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate the root of a number, most commonly the square root. It is represented by the radical sign (√).

Tags

CCSS.8.NS.A.1

Front

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, which involves removing any perfect square factors from under the radical sign.

Front

What is the square root of 169?

Back

The square root of 169 is 13.

Tags

CCSS.8.EE.A.2

Front

How do you simplify √150?

Back

To simplify √150, factor it into √(25 * 6) = √25 * √6 = 5√6.

Front

What is the simplified form of √32?

Back

The simplified form of √32 is 4√2.

Front

What is the process for simplifying √96?

Back

To simplify √96, factor it into √(16 * 6) = √16 * √6 = 4√6.

Front

How do you simplify 4√75?

Back

To simplify 4√75, factor it into 4√(25 * 3) = 4 * 5√3 = 20√3.

Front

What are perfect squares?

Back

Perfect squares are numbers that can be expressed as the square of an integer, such as 1, 4, 9, 16, 25, etc.

Tags

CCSS.8.EE.A.2

Front

What is the relationship between radicals and exponents?

Back

Radicals can be expressed using exponents; for example, √a is the same as a^(1/2).

Tags

CCSS.HSN.RN.A.2

Front

How can you identify perfect square factors of a number?

Back

To identify perfect square factors, list the perfect squares up to the number and check which ones divide the number evenly.