Radical expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x or ∛(x+2).

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor out perfect squares (or cubes) from under the radical sign and simplify. For example, √(4x) = 2√x.

Front

What is the square root of a number?

Back

The square root of a number 'x' is a value 'y' such that y² = x. For example, √9 = 3 because 3² = 9.

Front

What does it mean to rewrite an expression in exponential form?

Back

Rewriting in exponential form means expressing a radical as a power. For example, √x can be rewritten as x^(1/2).

Front

What is the cube root of a number?

Back

The cube root of a number 'x' is a value 'y' such that y³ = x. For example, ∛8 = 2 because 2³ = 8.

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms. For example, √2 + 3√2 = 4√2.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16 are perfect squares.

Front

How do you multiply radical expressions?

Back

To multiply radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately. For example, √2 * √3 = √(2*3) = √6.

Front

What is the difference between a radical and an exponent?

Back

A radical represents the root of a number, while an exponent represents repeated multiplication of a number. For example, √x is a radical, and x² is an exponent.

Front

What is the radical form of x^(1/3)?

Back

The radical form of x^(1/3) is ∛x.