Imaginary Numbers | MCQs

Explanation

√-1 is represented as "i" (the imaginary unit) in complex numbers.

√-1 × √-1 = i × i = i².

By definition, i² = -1.

Explanation

Explanation

The calculation confirms that:

3i(2 + 5i) = 6i + 15i^2

= 6i - 15

Comparing this to x + 6i:

x = -15

Explanation

Step 1: Understand the problem

The problem asks for the product of √-2 × √-2.

Step 2: Calculate the product

√-2 × √-2 = (√-1 × √2) × (√-1 × √2)

= (√-1)² × (√2)²

= i² × 2

= -1 × 2

= -2

Explanation

 A complex number a + bi is considered purely imaginary if its real part, 'a', is equal to zero.

In other words, a pure imaginary number has the form bi, where 'b' is a real number.