Algebra 2 - Learn to simplify a radical using the imaginary unit i, sqrt(-25)

The video tutorial explains how to handle the square root of a negative number by breaking it down into components. It emphasizes the difference between operations involving multiplication and addition, showing that sqrt(-25) can be separated into sqrt(25) and sqrt(-1) due to multiplication. The tutorial concludes by solving these components, explaining that sqrt(25) is 5 and sqrt(-1) is 'i', the imaginary unit.

What is the first step in simplifying the square root of a negative number?

• Multiply the numbers under the radical

• Divide the numbers under the radical

• Subtract the numbers under the radical

• Add the numbers under the radical

Why can't you separate terms under a radical sign using addition?

• Because it is only allowed in multiplication

• Because it is too complex

• Because it is not mathematically valid

• Because addition changes the value

What is the square root of 25?

• 6

• 3

• 4

• 5

What is the result of the square root of negative one?

• -1

• i

• 1

• 0

What does the imaginary unit 'i' represent?

• The square root of 2

• The square root of 0

• The square root of -1

• The square root of 1