Radicals Review (6.1-6.2)

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root, cube root, etc.

Front

How do you multiply radicals?

Back

To multiply radicals, multiply the numbers outside the radicals and the numbers inside the radicals separately, then simplify if possible.

Front

What does it mean to simplify a radical?

Back

Simplifying a radical means to express it in its simplest form, removing any perfect square factors from under the radical.

Front

What is the process of rationalizing a denominator?

Back

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

Front

What is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number.

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 divide radicals?

Back

To divide radicals, divide the numbers outside the radicals and the numbers inside the radicals separately, then simplify if possible.

Front

What is the product property of radicals?

Back

The product property states that the square root of a product is equal to the product of the square roots: √(a*b) = √a * √b.

Front

What is the quotient property of radicals?

Back

The quotient property states that the square root of a quotient is equal to the quotient of the square roots: √(a/b) = √a / √b.

Front

How do you simplify the expression √(a^2)?

Back

The expression √(a^2) simplifies to |a|, which is the absolute value of a.