Rewriting a number using i

The video tutorial explains how to simplify the expression sqrt -75 by breaking it into a product of sqrt 75 and sqrt -1. The instructor demonstrates how to simplify each radical separately, identifying sqrt -1 as 'i' and simplifying sqrt 75 by factoring it into sqrt 25 and sqrt 3. The final expression is simplified to 5i sqrt 3, illustrating the use of imaginary numbers in simplifying radicals.

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

• Multiply by 2

• Break it into a product involving sqrt(-1)

• Divide by 5

• Add 10 to the number

Which square number is used to simplify sqrt(75)?

• 36

• 16

• 25

• 49

What is the simplified form of sqrt(25)?

• 9

• 7

• 5

• 3

What does sqrt(-1) simplify to in terms of imaginary numbers?

• l

• i

• j

• k

What is the final simplified form of sqrt(-75)?

• 9i sqrt(1)

• 7i sqrt(2)

• 3i sqrt(5)

• 5i sqrt(3)