The solution to 5sqrt(-48) is 20sqrt(3)i

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simplify 5sqrt(-48)

Solution

simplify

5 - 48

203 i

Solution steps

5 - 48

Prime factorization of

48 : 2^{4} \cdot 3

= 5 - 2^{4} \cdot 3

Apply radical rule:

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

- 2^{4} \cdot 3 = 2^{4} - 3

= 5 2^{4} - 3

2^{4} = 4

= 5 \cdot 4 - 3

Multiply the numbers:

5 \cdot 4 = 20

= 20 - 3

Apply radical rule:

- a = a - 1

- 3 = 3 - 1

= 203 - 1

Apply imaginary number rule:

- 1 = i

= 203 i

lo g_{4} (0.0625)

5 v^{2} - 35 v + 50

\frac{36 39}{9} 13

(- 11 - 10 i) 2

+ a^{3} - 3 + 3 a^{2} - a