Simplifying Negative Square Roots with Imaginary Numbers

What is the imaginary unit 'i' defined as?

• The square root of -1

• The square root of 16

• The square root of 1

• The square root of 0

How can the square root of -48 be simplified?

• 4i√3

• 2i√12

• 5i√2

• 3i√4

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

• Add 1

• Separate the square root of -1

• Multiply by 2

• Divide by 2

In the prime factorization method, what do you do after breaking down the number into prime factors?

• Look for pairs of the same number

• Multiply the prime factors

• Add the prime factors

• Divide the prime factors

What is the simplified form of the square root of -72 using prime factorization?

• 6i√2

• 2i√6

• 4i√3

• 3i√4

What is the simplified form of the square root of -150?

• 4i√3

• 6i√5

• 3i√4

• 5i√6

What is the simplified form of the square root of -81?

• 6i

• 9i

• 7i

• 8i

What is the simplified form of the square root of -128 using prime factorization?

• 9i√2

• 8i√2

• 7i√2

• 6i√2

What is the simplified form of the square root of -54 using perfect squares?

• 2i√6

• 3i√6

• 4i√6

• 5i√6

Which method might be preferred for larger numbers when simplifying square roots of negative numbers?

• Subtracting the numbers

• Adding the numbers

• Using prime factorization

• Using perfect squares