What is sqrt(-2)(3-sqrt(-16))+(2i-5) ?

The solution to sqrt(-2)(3-sqrt(-16))+(2i-5) is (4sqrt(2)-5)+(2+3sqrt(2))i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(-2)(3-sqrt(-16))+(2i-5)

simplify

- 2 (3 - - 16) + (2 i - 5)

(42 - 5) + (2 + 32) i

Solution steps

- 2 (3 - - 16) + (2 i - 5)

Apply rule:

a + (b + c) = a + b + c

- 2 (3 - - 16) + (2 i - 5) = - 2 (3 - - 16) + 2 i - 5

= - 2 (3 - - 16) + 2 i - 5

- 2 (3 - - 16) = 2 i (3 - 4 i)

= 2 i (3 - 4 i) + 2 i - 5

Expand

2 i (3 - 4 i) : 32 i + 42

= 32 i + 42 + 2 i - 5

Group like terms

= 2 i + 32 i + 42 - 5

Factor out common term

i

= i (2 + 32) + 42 - 5

Rewrite in standard complex form:

(42 - 5) + (2 + 32) i

= (42 - 5) + (2 + 32) i

\frac{3}{7} - \frac{1}{4}

(a + 2 b) (a - 5) + (a - 5) (c - d)

42 + \frac{8}{3}

\frac{40}{27}

\frac{( x ^{3} + 125 )}{( x + 5 )}

What is sqrt(-2)(3-sqrt(-16))+(2i-5) ?
The solution to sqrt(-2)(3-sqrt(-16))+(2i-5) is (4sqrt(2)-5)+(2+3sqrt(2))i