What is 6sqrt(-128) ?

The solution to 6sqrt(-128) is 48sqrt(2)i

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simplify 6sqrt(-128)

simplify

6 - 128

482 i

Solution steps

6 - 128

Prime factorization of

128 : 2^{7}

= 6 - 2^{7}

Apply exponent rule:

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

- 2^{7} = - 2^{6} \cdot 2

= 6 - 2^{6} \cdot 2

Apply radical rule:

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

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

= 6 2^{6} - 2

2^{6} = 8

= 6 \cdot 8 - 2

Multiply the numbers:

6 \cdot 8 = 48

= 48 - 2

Apply radical rule:

- a = a - 1

- 2 = 2 - 1

= 482 - 1

Apply imaginary number rule:

- 1 = i

= 482 i

320 - 45

3 (4 + 311)

\frac{10}{2 3 - 2}

\frac{2 x ^{2} + 9 x - 5}{x + 5}

t^{3} + t^{2} - 2