The solution to 4sqrt(-20) is 8sqrt(5)i

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simplify 4sqrt(-20)

Solution

simplify

4 - 20

85 i

Solution steps

4 - 20

Prime factorization of

20 : 2^{2} \cdot 5

= 4 - 2^{2} \cdot 5

Apply radical rule:

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

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

= 4 2^{2} - 5

Apply radical rule:

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

2^{2} = 2

= 4 \cdot 2 - 5

Multiply the numbers:

4 \cdot 2 = 8

= 8 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 85 - 1

Apply imaginary number rule:

- 1 = i

= 85 i

25 x^{2} - 1 = 0

v + 10 < 15

4^{2} + x^{2} = 7^{2}

[3]

- 9 p^{2} + 100 = 0