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 36?

Back

6

Front

What is the square root of x^4?

Back

x^2

Front

How do you simplify √(a^2b)?

Back

√(a^2b) = a√b.

Front

What is the simplified form of √(4x^2)?

Back

2x.

Front

What does it mean to simplify √(20x^4y^2)?

Back

It means to express it in the form of a product of a rational number and a radical.

Front

What is the simplified form of √(80)?

Back

4√5.

Front

How do you handle variables when simplifying radicals?

Back

Use the property that √(x^n) = x^(n/2) for even n.

Front

What is the simplified form of √(p^9)?

Back

p^4√p.