Simplifying Square Roots and Expressions

The video tutorial explains how to simplify two mathematical expressions that appear similar but yield different results. The first expression involves simplifying the square root of a negative number, using imaginary numbers, and results in a real number. The second expression involves simplifying the square root of a positive number, resulting in a straightforward real number. The tutorial guides through each step of the simplification process, highlighting the differences in approach and outcome for each expression.

What is the first step in simplifying the square root of 9 in the first expression?

• Add 5 to the expression

• Use the property of imaginary numbers

• Divide by 3

• Multiply by 2

In the first expression, what is the result of squaring 3i?

• 9i

• 3i

• 9

• 9i^2

What is the final result of the first expression after simplification?

• 81

• 0

• -9

• 9

What is the first step in simplifying the second expression?

• Subtract 5

• Add 10 to the expression

• Multiply by 3

• Square 99

What is the square root of 81 in the second expression?

• 10

• 8

• 11

• 9