The solution to 3sqrt(-20) is 6sqrt(5)i

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simplify 3sqrt(-20)

Solution

simplify

3 - 20

65 i

Solution steps

3 - 20

Prime factorization of

20 : 2^{2} \cdot 5

= 3 - 2^{2} \cdot 5

Apply radical rule:

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

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

= 3 2^{2} - 5

Apply radical rule:

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

2^{2} = 2

= 3 \cdot 2 - 5

Multiply the numbers:

3 \cdot 2 = 6

= 6 - 5

Apply radical rule:

- a = a - 1

- 5 = 5 - 1

= 65 - 1

Apply imaginary number rule:

- 1 = i

= 65 i

(3 x - 8) (x - 10)

\frac{1}{20} \div \frac{5}{8}

a^{2} b^{2} - 64 c^{2}

1.0 4^{4}

500 + 20 + 115