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



Answered question


How do you simplify (73)(227)?

Answer & Explanation

Amina Hall

Amina Hall

Beginner2022-01-31Added 11 answers

Step 1
If you ignore the rule of imaginary numbers which states that
1=i and i2=1
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 (73×227)=1481=14×9=126
Multiply these together and you get 126×1=126

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