Tutorial Learn how to take square root of a negative number using imaginary i term ex 7, root(-121)

The video tutorial explains how to simplify a radical expression involving the square root of a negative number. It begins by introducing the concept of square numbers and the impossibility of taking the square root of a negative number in the real number system. The instructor then breaks down the expression into simpler parts using the rules of roots, ultimately simplifying it to 11i. The tutorial concludes with a reminder of the definition of square roots.

What is a square number?

• A number that is less than 10

• A number that is always positive

• A number that is the product of a number multiplied by itself

• A number that can be divided by 2

Why can't we take the square root of a negative number in the real number system?

• Because negative numbers do not exist

• Because it results in a complex number

• Because it is always zero

• Because it is undefined

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

• -1

• i

• 1

• 0

How can the expression sqrt(-121) be broken down?

• As sqrt(121) + sqrt(-1)

• As sqrt(11) + sqrt(-11)

• As sqrt(11) * sqrt(-11)

• As sqrt(121) * sqrt(-1)

What is the simplified form of sqrt(-121)?

• -11i

• 11

• 11i

• -11