What is (7sqrt(9))(7sqrt(-16)) ?

The solution to (7sqrt(9))(7sqrt(-16)) is 588i

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simplify (7sqrt(9))(7sqrt(-16))

simplify

(79) (7 - 16)

588 i

Solution steps

(79) (7 - 16)

79 = 21

= 21 \cdot 7 - 16

Apply radical rule:

- a = a - 1

- 16 = 16 - 1

= 21 \cdot 716 - 1

Apply imaginary number rule:

- 1 = i

= 21 \cdot 716 i

16 = 4

= 21 \cdot 7 \cdot 4 i

Multiply the numbers:

21 \cdot 7 \cdot 4 = 588

= 588 i

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