Exploring Imaginary Roots of Negative Numbers

What is the principal branch of the complex square root function used for?

• Finding the square root of positive numbers

• None of the above

• Calculating real numbers only

• Handling negative numbers in the domain

How can negative 52 be rewritten to simplify the principal square root?

• As negative 1 times 52

• As negative 52 times 1

• As 52 times 1

• As 52 times negative 1

When can the principal square root of a product be split into the product of the principal square roots?

• Both A and C

• When one number is positive and the other is negative

• When both numbers are negative

• When both numbers are positive

Why can't the principal square root property be used when both numbers are negative?

• It leads to a nonsensical answer

• It is mathematically incorrect

• It is undefined

• All of the above

What is the principal square root of negative 1?

• Negative i

• i

• 0

• 1

What is the prime factorization of 52?

• 2 times 26

• 2 times 2 times 13

• 4 times 13

• All of the above

What is the principal square root of 4?

• 1

• 2

• 4

• 8

What is the simplified form of the principal square root of negative 52?

• 2 times the square root of 52 times i

• i times the square root of 13

• i times the square root of 52

• 2 times the square root of 13 times i

What is the other square root of negative 1 besides the principal square root?

• 0

• Negative i

• Negative 1

• 1

What is the final simplified form of the principal square root of negative 52?

• 2 times the square root of 13 times i

• i times the square root of 52

• i times the square root of 13

• 2 times the square root of 52 times i