What is (6sqrt(-4))(sqrt(-1)) ?

The solution to (6sqrt(-4))(sqrt(-1)) is -12

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simplify (6sqrt(-4))(sqrt(-1))

simplify

(6 - 4) (- 1)

- 12

Solution steps

(6 - 4) (- 1)

Apply rule:

(a) = a

(- 1) = - 1

= 6 - 4 - 1

- 4 = 2 i

= 6 \cdot 2 i - 1

Apply imaginary number rule:

- 1 = i

= 6 \cdot 2 ii

Multiply the numbers:

6 \cdot 2 = 12

= 12 ii

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 12 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 12 (- 1)

Multiply the numbers:

12 (- 1) = - 12

= - 12

1 + 2 a - 3 a^{2} - 6 a^{3}

\frac{5 7}{35}

(8 y^{2} - 5 y + 7) - (2 y^{2} + 7 y + 11)

(2 y - 2)^{2}

\frac{a - b}{( a - b ) ^{2}} \cdot \frac{a + b}{a ^{2} - b ^{2}}