Question

write the following as complex numbers √-35​

Answer 1

The required representation is $\sqrt{-35}=0+i\sqrt{35}$, where $i=\sqrt{-1}$.

Tips:

The numbers of the form $z=a+ib$ are called Complex Numbers, where a, b are Real Numbers and $i=\sqrt{-1}$.

Step-by-step explanation:

Here, $\sqrt{-35}$

$=\sqrt{(-1)\times 35}$

$=\sqrt{-1}\times \sqrt{35}$

$=i\times \sqrt{35}$

Since there is no Real Part, we take is 0 and thus the required complex number is

$z=0+i\sqrt{35}$

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Answer 2

Answer:

Final Answer

Step-by-step explanation:

To Find

The complex number of the given square root.

Let z = a + ib be a complex number, where i = $\sqrt{-1}$

Now, to express the given square root as a complex number,

$\sqrt{-35}$ = $\sqrt{-1}$ x $\sqrt{35}$

         = i x $\sqrt{35}$

         = i$\sqrt{35}$

Therefore, $\sqrt{-35}$ as a complex number would be  i$\sqrt{35}$.

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