What is sqrt(-6)\times sqrt(-12)\times sqrt(-5) ?

The solution to sqrt(-6)\times sqrt(-12)\times sqrt(-5) is -6sqrt(10)i

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simplify sqrt(-6)\times sqrt(-12)\times sqrt(-5)

simplify

- 6 \cdot - 12 \cdot - 5

- 610 i

Solution steps

- 6 - 12 - 5

- 12 = 2 - 3

= - 6 \cdot 2 - 3 - 5

- 6 = 6 i

= 6 i 2 - 3 - 5

- 3 = 3 i

= 6 i 23 i - 5

- 5 = 5 i

= 6 i 23 i 5 i

Apply exponent rule:

aaa = a^{3}

iii = i^{3}

= 6 i^{3} \cdot 235

= 2635 i^{3}

6 = 32

= 23235 i^{3}

Apply radical rule:

a a = a, a \geq 0

33 = 3

= 2 \cdot 325 i^{3}

25 = 10

= 2 \cdot 310 i^{3}

Simplify

i^{3} : - i

= 2 \cdot 310 (- i)

Apply rule:

a (- b) = - ab

2 \cdot 310 (- i) = - 2 \cdot 310 i

= - 2 \cdot 310 i

Multiply the numbers:

- 2 \cdot 3 = - 6

= - 610 i

5 x (2 x + 4) - 3 x

4 \times 13

120 - 22 i

(- 2 - 5 i) - (- 8 + 8 i)

0.25

What is sqrt(-6)\times sqrt(-12)\times sqrt(-5) ?
The solution to sqrt(-6)\times sqrt(-12)\times sqrt(-5) is -6sqrt(10)i