Question

What a equals and why b equals and how you got the answer

Answer 1

We have an algebraic expression and we have to express it in the form of a complex number.

To do that we have to take into account the definition of the imaginary number i:

`i=\sqrt[]{-1}`

We can now work on the expression to find the complex number it represents:

`\begin{gathered} \frac{\sqrt[]{-3}}{\sqrt[]{-2}\cdot\sqrt[]{-5}} \\ \sqrt[]{-(3)/((-2)(-5))} \\ \sqrt[]{(-3)/(10)} \\ \sqrt[]{\frac{3\cdot(-1)_{}}{10}} \\ \sqrt[]{(3)/(10)}\cdot\sqrt[]{-1} \\ \sqrt[]{(3)/(10)}\cdot i \\ 0+\sqrt[]{(3)/(10)}i \end{gathered}`

Then, if we define the complex number as a + bi, then a=0 and b = √(3/10).

Answer: a=0 and b = √(3/10)