The solution to 8sqrt(-20) is 16sqrt(5)i

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simplify 8sqrt(-20)

Solution

simplify

8 - 20

165 i

Solution steps

8 - 20

Prime factorization of

20 : 2^{2} \cdot 5

= 8 - 2^{2} \cdot 5

Apply radical rule:

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

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

= 8 2^{2} - 5

Apply radical rule:

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

2^{2} = 2

= 8 \cdot 2 - 5

Multiply the numbers:

8 \cdot 2 = 16

= 16 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 165 - 1

Apply imaginary number rule:

- 1 = i

= 165 i

(4 - 9 i) - 2 i

2 x^{5}

6 \cdot (- 4)

- 5^{8}