Question

Which expression is equivalent to the square root of -108 - square root of -3

Answer 1

Answer:

5i√3

Step-by-step explanation:

You will have to use imaginary numbers i for negative square roots.

Answer 2

Answer:

$5\sqrt{3}i$

Step-by-step explanation:

$\sqrt{-108} -\sqrt{-3}$

$\sqrt{-1}\sqrt{108}-\sqrt{-1}\sqrt{3}$

$\sqrt{108}i-\sqrt{3} i$

$\sqrt{36 \times 3}i-\sqrt{3}i$

$\sqrt{36} \sqrt{3} i-\sqrt{3} i$

$6\sqrt{3}i-\sqrt{3}i$

$=5\sqrt{3}i$