Radical Flashcard

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 simplify by taking out pairs of factors.

Front

What does it mean to rationalize the denominator?

Back

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

Front

What is the square root of 81?

Back

The square root of 81 is 9.

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms, which means adding the coefficients of the radicals that have the same index and radicand.

Front

What is the product of two square roots?

Back

The product of two square roots can be simplified by multiplying the numbers under the radicals together and then taking the square root of the result.

Front

What is the difference between a perfect square and a non-perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer, while a non-perfect square cannot.

Front

How do you multiply a radical by a whole number?

Back

To multiply a radical by a whole number, simply multiply the whole number by the coefficient of the radical.

Front

What is the simplified form of 4√5(3 + √10)?

Back

The simplified form is 12√5 + 20√2.

Front

What is the principle of combining radicals?

Back

The principle of combining radicals states that you can only combine radicals that have the same index and radicand.