Question

Match each expression in the left column with the correct product in the right column.

Options 6, -6, 6i, -6i

Answer 1

-6

-6i

6i

6

Explanation:

1) √4 . √-3 . √-3

`$ √(4) = 2 $`

`$ √(-3) . √(-3) = (√(-3))^2 $`

`$ √(4) . (√(-3))^2 = 2 * -3 = $` -6

2) √-4 . √-3 . √-3

`$ √(-4) = 2i $` .

Therefore,
`$ √(-4) . √(-3) . √(-3) = 2. √(-1)  * -3 = 2i * (-3) =  $` - 6i

3) √4 . √3 . √-3

`$ √(4) = 2 $`

`$ √(3) . √(-3) = (√(3))^2 . √(-1) $`

`$ \implies 2 * 3i = $` 6i

4) √4 . √3 . √3

`$ √(4) = 2 $`

`$ √(3) . √(3) = (√(3))^2  = 3 $`

Therefore, √4 . √3 . √3 = 2 . 3 = 6