Radical Operations

Front

What is a radical in mathematics?

Back

A radical is a symbol used to indicate 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 a simpler form, often by factoring out perfect squares.

Front

What is the square root of 16?

Back

4

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

What is the value of √(x^2)?

Back

|x| (the absolute value of x).

Front

How do you add radical expressions?

Back

You can only add radical expressions with the same index and radicand (e.g., √3 + 2√3 = 3√3).

Front

What is the product of √a and √b?

Back

√a * √b = √(a*b).

Front

How do you subtract radical expressions?

Back

You can only subtract radical expressions with the same index and radicand (e.g., 5√2 - 2√2 = 3√2).

Front

What is the simplified form of √(75)?

Back

5√3.

Front

What is the simplified form of √(27)?

Back

3√3.