What is 3sqrt(-24)\times 2sqrt(-18) ?

The solution to 3sqrt(-24)\times 2sqrt(-18) is -72sqrt(3)

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simplify 3sqrt(-24)\times 2sqrt(-18)

simplify

3 - 24 \cdot 2 - 18

- 723

Decimal Notation

- 124.70765 \dots

Solution steps

3 - 24 \cdot 2 - 18

- 24 = 2 - 6

= 3 \cdot 2 - 6 \cdot 2 - 18

Multiply the numbers:

3 \cdot 2 \cdot 2 = 12

= 12 - 6 - 18

- 6 = 6 i

= 126 i - 18

- 18 = 2 \cdot 3 i

= 126 i 2 \cdot 3 i

Multiply the numbers:

12 \cdot 3 = 36

= 366 i 2 i

Apply exponent rule:

aa = a^{2}

ii = i^{2}

= 366 i^{2} 2

= 3662 i^{2}

6 = 23

= 36232 i^{2}

Apply radical rule:

a a = a, a \geq 0

22 = 2

= 36 \cdot 23 i^{2}

Apply imaginary number rule:

i^{2} = - 1

= 36 \cdot 23 (- 1)

Multiply the numbers:

36 \cdot 2 (- 1) = - 72

= - 723

4 x + 8 x

2 a^{4} - 54 a

\frac{1}{8} - \frac{4}{6} + \frac{7}{12}

\frac{72}{36}

What is 3sqrt(-24)\times 2sqrt(-18) ?
The solution to 3sqrt(-24)\times 2sqrt(-18) is -72sqrt(3)