Algebra 2 - Simplify a negative radical using the imaginary unit i, sqrt(-64)

The video tutorial explains how to handle the square root of negative numbers by introducing the concept of complex numbers. It demonstrates the process of rewriting sqrt(-64) as 64 times -1 and applying the rules of radicals to simplify the expression. The tutorial concludes by representing sqrt(-1) as 'i', leading to the final solution.

Why can't we directly take the square root of a negative number?

• Because it results in zero

• Because it results in an undefined number

• Because it results in a complex number

• Because it results in a positive number

How can the expression sqrt(-64) be rewritten?

• As 64 times -1

• As 64 times 1

• As -64 times 1

• As -64 times -1

What is the square root of 64?

• 9

• 6

• 7

• 8

What symbol is used to represent the square root of -1?

• m

• i

• k

• j

What is the result of sqrt(-64) using the rules of radicals?

• 8

• 8i

• 64i

• 64