Question

Which of the following is the simplified expression of 2 square root of -16 + the square root of 225 in standard form, a plus b i ?

Answer 1

tttgtgt

Explanation:

gtgtggtt

Answer 2

The standard form like
`(a+bi)` will be:
`15+8i`

Explanation:

Given expression is:
`2√(-16)+√(225)`

First factoring out -16 as (-1×16) , we will get....

`2√(-1)*√(16)+√(225)`

Now, replacing
`√(-1)` as
`i` .......

`2i√(16)+√(225)`

Finally, simplifying the radicals in the above expression, we will get......

`2i*4+15\\ \\ =15+8i`

Thus, the standard form like
`(a+bi)` will be:
`15+8i`