What is (6sqrt(16))(sqrt(-49)) ?

The solution to (6sqrt(16))(sqrt(-49)) is 168i

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simplify (6sqrt(16))(sqrt(-49))

simplify

(616) (- 49)

168 i

Solution steps

(616) (- 49)

Apply rule:

(a) = a

(- 49) = - 49

= 616 - 49

16 = 4

= 6 \cdot 4 - 49

Multiply the numbers:

6 \cdot 4 = 24

= 24 - 49

Apply radical rule:

- a = a - 1

- 49 = 49 - 1

= 2449 - 1

Apply imaginary number rule:

- 1 = i

= 2449 i

49 = 7

= 24 \cdot 7 i

Multiply the numbers:

24 \cdot 7 = 168

= 168 i

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