Simplify negative radicals

Front

What is the definition of a negative radical?

Back

A negative radical is the square root of a negative number, which can be expressed in terms of imaginary numbers.

Front

How do you simplify √-1?

Back

√-1 is defined as the imaginary unit 'i'.

Front

What is the simplified form of √-4?

Back

2i.

Front

How do you express the square root of a negative number in terms of 'i'?

Back

The square root of a negative number can be expressed as the product of 'i' and the square root of the positive counterpart.

Front

What is the simplified form of -√-8?

Back

-2i√2.

Front

What is the relationship between 'i' and negative radicals?

Back

The imaginary unit 'i' is used to represent the square roots of negative numbers.

Front

How do you simplify 2√-32?

Back

8i√2.

Front

What is the general formula for simplifying √-a where a is a positive number?

Back

√-a = i√a.

Front

What does ± mean in the context of square roots?

Back

The symbol ± indicates that there are two possible values, one positive and one negative.

Front

What is the simplified form of √-25?

Back

5i.