The solution to 5sqrt(-12) is 10sqrt(3)i

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simplify 5sqrt(-12)

Solution

simplify

5 - 12

103 i

Solution steps

5 - 12

Prime factorization of

12 : 2^{2} \cdot 3

= 5 - 2^{2} \cdot 3

Apply radical rule:

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

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

= 5 2^{2} - 3

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 2 - 3

Multiply the numbers:

5 \cdot 2 = 10

= 10 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 103 - 1

Apply imaginary number rule:

- 1 = i

= 103 i

12 y^{2} - 8 y - 15

\frac{7}{3} \cdot 37

180 \div 36

\frac{x ^{2}}{x - 2} - \frac{6 x - 8}{x - 2}

lo g_{10} (3) (2)