Reducing Radicals

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, most commonly the square root. It is denoted by the radical sign (√).

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors, and then extract any perfect squares (or higher powers) from under the radical.

Front

What is the square root of 49?

Back

7

Front

What is the square root of 144?

Back

12

Front

How do you simplify √27?

Back

√27 can be simplified to 3√3.

Front

What is the simplified form of √27x²y²?

Back

3xy√3.

Front

What is the square root of x²?

Back

x, assuming x is non-negative.

Front

What is the square root of x³?

Back

x√x.

Front

How do you simplify √150X?

Back

√150X can be simplified to 5√6X.

Front

What is the square root of 144x³?

Back

12x√x.