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

Answer:

$- 14 + \sqrt{ \frac{ - 5 \times 5 \times 5}{10} }$

$- 14 + 5 \sqrt{ \frac{ - 1}{2} }$

$- 14 + \frac{5 \sqrt{ - 1} }{ \sqrt{2} }$

$- 14 + \frac{5i}{ \sqrt{2} }$

Answer 2

Step-by-step explanation:

$- 14 + \sqrt{ \frac{ - 125}{10} } \\ - 14 + \frac{5 \sqrt{5} i}{ \sqrt{10} } \\ = - 14 + \frac{5i}{ \sqrt{2} } \\ = - 14 + \frac{5i \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ - 12 + \frac{5 \sqrt{2}i }{2} \\ thank \: you$