simplify radicals with variables

Front

What is a radical?

Back

A radical is a symbol used to indicate 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^2?

Back

x (assuming x is non-negative).

Front

What is the square root of a product?

Back

The square root of a product is the product of the square roots: √(ab) = √a * √b.

Front

What is the square root of a quotient?

Back

The square root of a quotient is the quotient of the square roots: √(a/b) = √a / √b.

Front

How do you simplify √(a^2b)?

Back

√(a^2b) = a√b.

Front

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

Back

x^2.

Front

What is the simplified form of √(16y^6)?

Back

4y^3.

Front

How do you simplify √(20)?

Back

√(20) = √(4*5) = 2√5.