What is simplify-8sqrt(-63) ?

The solution to simplify-8sqrt(-63) is -24sqrt(7)i

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simplify-8sqrt(-63)

simplify

- 8 - 63

- 247 i

Solution steps

- 8 - 63

Prime factorization of

63 : 3^{2} \cdot 7

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

Apply radical rule:

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

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

= - 8 3^{2} - 7

Apply radical rule:

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

3^{2} = 3

= - 8 \cdot 3 - 7

Multiply the numbers:

- 8 \cdot 3 = - 24

= - 24 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= - 247 - 1

Apply imaginary number rule:

- 1 = i

= - 247 i

x^{2} - 8 x - 25 = - 3 x - 1

5 (2 x + 2) \geq \frac{4 x - 10}{3}

4 (x + 4)^{2} = 36

9 x^{2} - 144

25 x^{2} - 120 x + 144

What is simplify-8sqrt(-63) ?
The solution to simplify-8sqrt(-63) is -24sqrt(7)i