Question

Write each # in the form a+bi

2+sqrt-3
sqrt-8+8

Answer 1

What does \(\Large \sqrt{-3}\) simplify to?

Answer 2

i(sqrt)3?

Answer 3

good, so this means


\[\Large 2+\sqrt{-3} = 2+i\sqrt{3}\]

Answer 4

How about \(\Large \sqrt{-8}\) ?

Answer 5

2isqrt2

Answer 6

That means


\[\Large \sqrt{-8} + 8 = 2i\sqrt{2} + 8\]


\[\Large \sqrt{-8} + 8 = 8 + 2i\sqrt{2}\]

Answer 7

The first answer \(\Large 2 + i\sqrt{3}\) can be written as \(\Large 2 + \sqrt{3} * i\)

so it's in the form a+bi where a = 2 and \(\Large b = \sqrt{3}\)

Answer 8

\(\Large 8 + 2i\sqrt{2}\) is the same as \(\Large 8 + 2\sqrt{2}*i\)

so a = 8 and \(\Large b=2\sqrt{2}\)