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

Fallbasiss4

Fallbasiss4

Answered question

2022-01-30

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
1481=14×9=126
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:
(73×1)(227×1)=(1×1)(73×227)
Now you can multiply terms within the parentheses.
(1×1)=i×i=i2=1
and (73×227)=1481=14×9=126
Multiply these together and you get 126×1=126

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