The solution to 6sqrt(-20) is 12sqrt(5)i

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simplify 6sqrt(-20)

Solution

simplify

6 - 20

125 i

Solution steps

6 - 20

Prime factorization of

20 : 2^{2} \cdot 5

= 6 - 2^{2} \cdot 5

Apply radical rule:

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

- 2^{2} \cdot 5 = 2^{2} - 5

= 6 2^{2} - 5

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 2 - 5

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 125 - 1

Apply imaginary number rule:

- 1 = i

= 125 i

- 314 - 3

4 x^{2} + 20 x y + 9 y^{2}

(5 x + 5 y) - (- x + 10 y)

y \times 1

3 \times 16