What is simplify-6sqrt(-54) ?

The solution to simplify-6sqrt(-54) is -18sqrt(6)i

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simplify-6sqrt(-54)

simplify

- 6 - 54

- 186 i

Solution steps

- 6 - 54

Prime factorization of

54 : 2 \cdot 3^{3}

= - 6 - 2 \cdot 3^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= - 6 - 2 \cdot 3^{2} \cdot 3

Apply radical rule:

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

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

= - 6 3^{2} - 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= - 6 \cdot 3 - 2 \cdot 3

Multiply the numbers:

- 2 \cdot 3 = - 6

= - 6 \cdot 3 - 6

Multiply the numbers:

- 6 \cdot 3 = - 18

= - 18 - 6

Apply radical rule:

- a = a - 1

- 6 = 6 - 1

= - 186 - 1

Apply imaginary number rule:

- 1 = i

= - 186 i

\frac{1}{4} \times (- 2)

\frac{2}{15} + \frac{1}{2} - \frac{2}{3}

\frac{1}{2} \div \frac{1}{10}

\frac{625}{1024}

8 i \times (- 9) i \times 6 i

What is simplify-6sqrt(-54) ?
The solution to simplify-6sqrt(-54) is -18sqrt(6)i