Simplifying Square Roots of Negatives

The video tutorial explains how to simplify negative square roots. It begins with the fundamental rule that the square root of negative one equals 'i'. The instructor provides examples of perfect negative squares, such as negative 144 and negative 25, and explains how to simplify them to plus or minus 12i and 5i, respectively. The tutorial then addresses non-perfect squares, using negative 24 as an example, and demonstrates the process of extracting 'i' and simplifying the remaining value under the square root.

What is the value of the square root of negative 1?

• i

• 0

• -1

• 1

What is the simplified form of the square root of negative 144?

• ±12i

• 12i

• -12

• 12

How do you express the square root of negative 25?

• 5

• 5i

• ±5i

• -5

What is the simplified form of the square root of negative 36?

• ±6i

• 6i

• -6

• 6

What is the first step in simplifying the square root of a negative number that is not a perfect square?

• Multiply by 2

• Take out an i

• Add 1

• Factor the number

When simplifying the square root of negative 24, what is the factorization of 24?

• 4 x 6

• 3 x 8

• 2 x 12

• 6 x 4

What is the final simplified form of the square root of negative 24?

• 6i√2

• 3i√4

• 2i√6

• 4i√3