Question

Says the expression

2√25+√-16

Answer 1

10 + 4i

Explanation:

2 sqrt (25) + sqrt (-16) =

2 * 5 + 4i

10 + 4i

Answer 2

`10 + 4i`

Explanation:

Original Equation:

`2√(25) + √(-16)`

Simplify sqrt(25)

`2*5+√(-16)`

Simplify multiplication

`10+√(-16)`

Split the radical -16 into two, using the identity:
`\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}`

`10 + √(-1)*√(16)`

Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number

`10 + 4i`