Simplify Radicals with Variables

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.

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 look for pairs of factors.

Front

What is the square root of 16?

Back

4

Front

What is the square root of a variable squared, such as x²?

Back

The square root of x² is |x| (the absolute value of x).

Front

Simplify: √(a²b)

Back

a√b

Front

What does it mean to simplify √(x²y)?

Back

It means to express it as x√y, assuming x is non-negative.

Front

Simplify: 5√(48x²)

Back

20x√3

Front

Simplify: √(28m⁴n³)

Back

2m²n√7n

Front

Simplify: √(343k⁴)

Back

7k²√7

Front

Simplify: √(45n³)

Back

3n√5n