What is (7sqrt(-12))(sqrt(-7)) ?

The solution to (7sqrt(-12))(sqrt(-7)) is -14sqrt(21)

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simplify (7sqrt(-12))(sqrt(-7))

simplify

(7 - 12) (- 7)

- 1421

Solution steps

(7 - 12) (- 7)

Apply rule:

(a) = a

(- 7) = - 7

= 7 - 12 - 7

- 12 = 2 - 3

= 7 \cdot 2 - 3 - 7

Multiply the numbers:

7 \cdot 2 = 14

= 14 - 3 - 7

- 3 = 3 i

= 143 i - 7

- 7 = 7 i

= 143 i 7 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 143 i^{2} 7

= 1437 i^{2}

37 = 21

= 1421 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 1421 (- 1)

Multiply the numbers:

14 (- 1) = - 14

= - 1421

∣ 3 + 9 i ∣

(x - 4 + 2 i) (x - 4 - 2 i)

- - 400

e^{y l n (x)}

- 2 x (x y - 3 y^{2} + x)

What is (7sqrt(-12))(sqrt(-7)) ?
The solution to (7sqrt(-12))(sqrt(-7)) is -14sqrt(21)