The solution to 2sqrt(-36) is 12i

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simplify 2sqrt(-36)

Solution

simplify

2 - 36

12 i

Solution steps

2 - 36

Prime factorization of

36 : 2^{2} \cdot 3^{2}

= 2 - 2^{2} \cdot 3^{2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{2} \cdot 3^{2} = 2^{2} - 3^{2}

= 2 2^{2} - 3^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 2 \cdot 2 - 3^{2}

3^{2} = 9

= 2 \cdot 2 - 9

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 9

Apply radical rule:

- a = a - 1

- 9 = 9 - 1

= 49 - 1

Apply imaginary number rule:

- 1 = i

= 49 i

9 = 3

= 4 \cdot 3 i

Multiply the numbers:

4 \cdot 3 = 12

= 12 i

6 a + 1 - (6 a - 1)

(\frac{x}{2})^{3} (5 x^{6})

\frac{5 x}{x ^{2} - x - 6} - \frac{18}{x ^{2} - 9}

e^{1.05}

\frac{3 x - 3}{x} \cdot \frac{3 x ^{2}}{7 x - 7}