ch4 Geo simplifying 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. It is denoted by the radical sign (√).

Front

How do you simplify a square root?

Back

To simplify a square root, factor the number under the radical into its prime factors, then pair the factors to take them out of the radical.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What is the square root of 25?

Back

The square root of 25 is 5.

Front

How do you simplify √45?

Back

√45 can be simplified to 3√5 because 45 = 9 * 5 and √9 = 3.

Front

What is the simplified form of √28?

Back

The simplified form of √28 is 2√7 because 28 = 4 * 7 and √4 = 2.

Front

What is the simplified form of √96?

Back

The simplified form of √96 is 4√6 because 96 = 16 * 6 and √16 = 4.

Front

How do you simplify 3√72?

Back

3√72 simplifies to 18√2 because 72 = 36 * 2 and √36 = 6, so 3 * 6 = 18.

Front

What is the simplified form of 3√16?

Back

The simplified form of 3√16 is 12 because √16 = 4, and 3 * 4 = 12.

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction by multiplying the numerator and denominator by a suitable radical.