Simplifying Radicals with Negative Radicands

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number, typically the square root, denoted by @@ adical{n}@@.

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 from under the radical sign.

Front

What is a negative radicand?

Back

A negative radicand is a number under a radical sign that is less than zero, which results in an imaginary number when simplified.

Front

How do you simplify @@ adical{-n}@@?

Back

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as @@i = adical{-1}@@.

Front

Simplify @@ adical{-12}@@.

Back

@@ adical{-12} = 2i adical{3}@@.

Front

What is the simplified form of @@ adical{-8}@@?

Back

@@ adical{-8} = 2i adical{2}@@.

Front

How do you simplify @@ adical{96}@@?

Back

@@ adical{96} = 4 adical{6}@@.

Front

What is the process to simplify @@ adical{a^2b}@@?

Back

The process involves taking the square root of the perfect square: @@ adical{a^2b} = a adical{b}@@.

Front

What is the simplified form of @@ adical{18}@@?

Back

@@ adical{18} = 3 adical{2}@@.