Simplifying Radicals

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

How do you simplify the square root of a product?

Back

The square root of a product can be simplified using the property √(a*b) = √a * √b.

Front

What is the square root of 1?

Back

The square root of 1 is 1.

Front

How do you simplify √45?

Back

√45 can be simplified to 3√5.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

How do you simplify √28?

Back

√28 can be simplified to 2√7.

Front

What is the square root of 675?

Back

The square root of 675 can be simplified to 15√3.

Front

What is the principle behind simplifying radicals?

Back

The principle involves breaking down the number under the radical into its prime factors and simplifying the expression.

Front

What is the square root of a perfect square?

Back

The square root of a perfect square is an integer.

Front

How do you identify perfect squares?

Back

Perfect squares are numbers that can be expressed as the square of an integer, such as 1, 4, 9, 16, 25, etc.