The solution to 6sqrt(-63) is 18sqrt(7)i

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simplify 6sqrt(-63)

Solution

simplify

6 - 63

187 i

Solution steps

6 - 63

Prime factorization of

63 : 3^{2} \cdot 7

= 6 - 3^{2} \cdot 7

Apply radical rule:

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

- 3^{2} \cdot 7 = 3^{2} - 7

= 6 3^{2} - 7

Apply radical rule:

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

3^{2} = 3

= 6 \cdot 3 - 7

Multiply the numbers:

6 \cdot 3 = 18

= 18 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= 187 - 1

Apply imaginary number rule:

- 1 = i

= 187 i

\frac{2 x ^{6} y ^{3}}{x ^{2} y ^{7}}

(\frac{1}{32})^{\frac{4}{5}}

\frac{1}{3} x + \frac{1}{4} - \frac{2}{3} x

\frac{2}{4} - \frac{1}{2}

x^{2} + 3 x = 2