Question

Simplify the expression and write the result in standard form, a+bi. Write all numbers as integers or simplified fractions.

-14 + √-125 / 10

Answer 1

Explanation:

`- 14 + \sqrt{ ( - 125)/(10) } \\ - 14 + (5 √(5) i)/( √(10) ) \\ = - 14 + (5i)/( √(2) ) \\ = - 14 + (5i √(2) )/( √(2) * √(2) ) \\ - 12 + (5 √(2)i )/(2) \\ thank \: you`

Answer 2

`- 14 + \sqrt{ ( - 5 * 5 * 5)/(10) }`

`- 14 + 5 \sqrt{ ( - 1)/(2) }`

`- 14 + (5 √( - 1) )/( √(2) )`

`- 14 + (5i)/( √(2) )`