Radical Operations

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

What does it mean to simplify a radical expression?

Back

To simplify a radical expression means to rewrite it in its simplest form, removing any perfect square factors.

Front

What is the square root of 25?

Back

5

Front

How do you rationalize the denominator of a fraction?

Back

To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is an integer or whole number.

Front

What is the square root of 36x²?

Back

6x

Front

What is the simplified form of √(a²)?

Back

a (where a is a non-negative number).

Front

What is the result of √(x² + 2x + 1)?

Back

x + 1 (this is a perfect square trinomial).

Front

What is the value of 3√8?

Back

6 (since 3 * 2 = 6, where 2 is the cube root of 8).

Front

What is the simplified form of (1/√5)?

Back

√5 / 5.