Operations on Radicals (Some Higher Degree)

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root, cube root, etc. It is represented by the radical sign (√).

Front

What is the radicand in a radical expression?

Back

The radicand is the number or expression inside the radical sign. For example, in @@ abla{5}@@, 5 is the radicand.

Front

How do you simplify @@ abla{a^2}@@?

Back

Front

What is the index of a radical?

Back

The index of a radical indicates the degree of the root. For example, in @@ abla[3]{x}@@, the index is 3, indicating a cube root.

Front

What is the product property of radicals?

Back

The product property states that @@ abla{a} imes abla{b} = abla{(a imes b)}@@.

Front

What is the quotient property of radicals?

Back

Front

How do you add or subtract radical expressions?

Back

You can only add or subtract radical expressions if they have the same radicand. For example, @@ abla{2} + abla{2} = 2 abla{2}@@.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the next term in an arithmetic sequence?

Back

To find the next term, add the common difference to the last term of the sequence.

Front

What is the common difference in the sequence: -33, -24, -15, -6?

Back

The common difference is 9, calculated as -24 - (-33) = 9.