What is simplify-sqrt(36)+sqrt(-72)-sqrt(1)+sqrt(-162) ?

The solution to simplify-sqrt(36)+sqrt(-72)-sqrt(1)+sqrt(-162) is -7+15sqrt(2)i

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simplify-sqrt(36)+sqrt(-72)-sqrt(1)+sqrt(-162)

simplify

- 36 + - 72 - 1 + - 162

- 7 + 152 i

Solution steps

- 36 + - 72 - 1 + - 162

- 36 = - 6

- 72 = 62 i

1 = 1

- 162 = 2 \cdot 9 i

= - 6 + 62 i - 1 + 2 \cdot 9 i

Group like terms

= 62 i + 2 \cdot 9 i - 6 - 1

Add similar elements:

62 i + 2 \cdot 9 i = 152 i

= 152 i - 6 - 1

Subtract the numbers:

- 6 - 1 = - 7

= 152 i - 7

Rewrite in standard complex form:

- 7 + 152 i

= - 7 + 152 i

4 (x + 7)

(3 x^{2} + 5 x - 6) (8 x^{2} - 3 x + 4)

\frac{3}{x} + \frac{x}{x - 1} - \frac{1}{x - 1}

z^{2} - 3 z + 2

What is simplify-sqrt(36)+sqrt(-72)-sqrt(1)+sqrt(-162) ?
The solution to simplify-sqrt(36)+sqrt(-72)-sqrt(1)+sqrt(-162) is -7+15sqrt(2)i