The solution to 9sqrt(-28) is 18sqrt(7)i

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simplify 9sqrt(-28)

Solution

simplify

9 - 28

187 i

Solution steps

9 - 28

Prime factorization of

28 : 2^{2} \cdot 7

= 9 - 2^{2} \cdot 7

Apply radical rule:

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

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

= 9 2^{2} - 7

Apply radical rule:

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

2^{2} = 2

= 9 \cdot 2 - 7

Multiply the numbers:

9 \cdot 2 = 18

= 18 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= 187 - 1

Apply imaginary number rule:

- 1 = i

= 187 i

\frac{3}{4} \times 9

3 (x - 8 - 2) (10 - x) 4 (x - 1)

121 - 16 x^{2}

8.5 \cdot \frac{1}{2} \cdot 1. 5^{2}