Question

Express square root -80 in its simplest form

Answer 1

4√(-5)

Explanation:

The square root of -80 cannot be expressed as a real number because the square root of a negative number is not defined in the real number system. In the real number system, the square root of a negative number is considered "imaginary" or "complex."

However, you can express the square root of -80 in terms of the imaginary unit "i," where "i" is defined as the square root of -1.

The square root of -80 can be written as:

√(-80) = √(16 * -5) = √16 * √(-5) = 4√(-5)

So, the square root of -80 in its simplest form is:

4√(-5)

Answer 2

The square root of -80 cannot be expressed as a real number because the square root of a negative number is not defined among real numbers. However, it can be expressed using imaginary numbers.

The square root of -80 can be written as:

√(-80) = √(16 * -5)

Now, we can break it down further:

√(16) * √(-5) = 4i√5

So, the square root of -80 in its simplest form is 4i√5, where "i" represents the imaginary unit.

Explanation: