Question

Re express 3 √-32 as a complex number with the imaginary unit i= √-1

Answer 1

Wrong try again

Answer 2

To convert √-32 into a complex number, we can write it as √(-1) * √32.

The square root of -1 is defined as i, so we can rewrite the expression as i * √32.

Now we can simplify √32. The square root of 32 can be broken down into the product of the square root of 16 and the square root of 2. Simplifying further, the square root of 16 is 4, so we have 4 * √2.

Putting it all together, we have i * √32 = i * 4 * √2.

This can be further simplified as 4i√2, which is the complex number representation of √-32.

Answer 3

Apologies for the mistake. Let's try again.

To express √(-32) as a complex number, we can rewrite it as √(32) * √(-1).

The square root of 32 can be simplified as √(16 * 2), which becomes 4√2.

Now, the square root of -1 is defined as the imaginary unit i, so √(-1) can be expressed as i.

Putting it all together, √(-32) can be written as 4√2 * i, which is the complex number representation of √(-32).