6.1-6.2 GPS - 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.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the square root of 25?

Back

The square root of 25 is 5.

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves eliminating any radicals from the denominator of a fraction.

Front

What is the value of √(a^2)?

Back

The value of √(a^2) is |a|, the absolute value of a.

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms, which means adding radicals with the same index and radicand.

Front

What is the simplified form of √(20)?

Back

The simplified form of √(20) is 2√5.

Front

What is the product of √a and √b?

Back

The product of √a and √b is √(a*b).

Front

How do you subtract radical expressions?

Back

To subtract radical expressions, combine like terms, similar to addition.

Front

What is the simplified form of √(x^2 + 2x + 1)?

Back

The simplified form of √(x^2 + 2x + 1) is |x + 1|.