Fallbasiss4

2022-01-30

How do you simplify $\left(7\sqrt{-3}\right)\left(2\sqrt{-27}\right)?$

Amina Hall

Beginner2022-01-31Added 11 answers

Step 1

If you ignore the rule of imaginary numbers which states that

you would be tempted to multiply all terms together to get

which would be incorrect.

To keep the validity of the complex number system, always deal with the imaginary part first. To do this, rewrite the equation:

Now you can multiply terms within the parentheses.

and

Multiply these together and you get