Question: "Evaluate the expression −6−3−4 and write the result..." - Plainmath

Secondary
Algebra
Pre-Algebra
Reading and interpreting data

Bevan Mcdonald

Answered question

2021-01-02

Evaluate the expression

\frac{\sqrt{- 6}}{\sqrt{- 3} \sqrt{- 4}}

and write the result in the form a+bi

Answer & Explanation

odgovoreh

Skilled2021-01-03Added 107 answers

$i \frac{\sqrt{6}}{i \sqrt{3} \cdot i \sqrt{4}} = - i \frac{\sqrt{6}}{2} \sqrt{3} = - i \frac{\sqrt{\frac{6}{3}}}{2} = - i \frac{\sqrt{2}}{2}$ .

So $a = 0 and b = - \frac{\sqrt{2}}{2}$ for a+ib.
Therefore $a = 0 and b = - \frac{\sqrt{2}}{2} or - \frac{1}{\sqrt{2}}$ before rationalisation.

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