Question

The value of√ −3 × √ −6 is ---​

Answer 1

√18

Hope it helps

Thanks

Answer 2

$\sf \sqrt{ - 3} \times \sqrt{ - 6} = - 3 \sqrt{2}$

Given :

$\sf \sqrt{ - 3} \times \sqrt{ - 6}$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\sf \sqrt{ - 3} \times \sqrt{ - 6}$

Step 2 of 2 :

Find the value of the expression

$\sf \sqrt{ - 3} \times \sqrt{ - 6}$

$\sf = \sqrt{ - 1 \times 3} \times \sqrt{ - 1 \times 6}$

$\sf = \sqrt{ {i}^{2} \times 3} \times \sqrt{ {i}^{2} \times 6}$

$\sf = i\sqrt{ 3} \times i \sqrt{ 6}$

$\sf = {i}^{2} \sqrt{ 3 \times 6}$

$\sf = - \sqrt{ 3 \times 3 \times 2}$

$\sf = - 3\sqrt{ 2}$