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.

Front

How do you simplify √a*b?

Back

To simplify √a*b, you can separate the square root into √a * √b and simplify each part if possible.

Front

What is the simplified form of √40?

Back

2√10

Front

What is the simplified form of √24?

Back

2√6

Front

What is the product of √a and √b?

Back

The product of √a and √b is √(a*b).

Front

What is the quotient of √a and √b?

Back

The quotient of √a and √b is √(a/b).

Front

What is the principle of simplifying radical expressions?

Back

The principle involves breaking down the radicand into its prime factors and simplifying the square roots.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.

Front

How do you rationalize the denominator of 1/√a?

Back

Multiply the numerator and denominator by √a to get √a/a.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is an integer that, when multiplied by itself, gives the perfect square.