What is (sqrt(9))(8sqrt(-28)) ?

The solution to (sqrt(9))(8sqrt(-28)) is 48sqrt(7)i

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simplify (sqrt(9))(8sqrt(-28))

simplify

(9) (8 - 28)

487 i

Solution steps

(9) (8 - 28)

Apply rule:

(a) = a

(9) = 9

= 9 \cdot 8 - 28

9 = 3

= 3 \cdot 8 - 28

Prime factorization of

28 : 2^{2} \cdot 7

= 3 \cdot 8 - 2^{2} \cdot 7

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

- 2^{2} \cdot 7 = 2^{2} - 7

= 3 \cdot 8 2^{2} - 7

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 3 \cdot 8 \cdot 2 - 7

Multiply the numbers:

3 \cdot 8 \cdot 2 = 48

= 48 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= 487 - 1

Apply imaginary number rule:

- 1 = i

= 487 i

\frac{78}{4}

\frac{600}{15000}

4 x - 7 x - 3 - 9

(csc (x) + 1) (csc (x) - 1)

2^{2} + 1^{2} + 3^{2}

What is (sqrt(9))(8sqrt(-28)) ?
The solution to (sqrt(9))(8sqrt(-28)) is 48sqrt(7)i