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

What does it mean to simplify a radical?

Back

To simplify a radical means to express it in its simplest form, removing any perfect square factors.

Front

What is the simplest radical form of √80?

Back

4√5

Front

How do you simplify √96p⁹?

Back

4p⁴√6p

Front

What is the result of simplifying -3√20x⁴y²?

Back

-6x²y√5

Front

What is the simplest form of √36x³y⁴?

Back

6y²x√x

Front

How do you simplify 4√75?

Back

20√3

Front

What is the process to simplify √(a^2b)?

Back

The process involves taking the square root of a^2 (which is a) and leaving b under the radical, resulting in a√b.

Front

What is the rule for simplifying radicals with variables?

Back

For a variable x, √(x^n) = x^(n/2) if n is even, and x^((n-1)/2)√x if n is odd.

Front

What is the value of √(x^4)?

Back

x^2