What is simplify-5sqrt(-63) ?

The solution to simplify-5sqrt(-63) is -15sqrt(7)i

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simplify-5sqrt(-63)

simplify

- 5 - 63

- 157 i

Solution steps

- 5 - 63

Prime factorization of

63 : 3^{2} \cdot 7

= - 5 - 3^{2} \cdot 7

Apply radical rule:

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

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

= - 5 3^{2} - 7

Apply radical rule:

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

3^{2} = 3

= - 5 \cdot 3 - 7

Multiply the numbers:

- 5 \cdot 3 = - 15

= - 15 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= - 157 - 1

Apply imaginary number rule:

- 1 = i

= - 157 i

\frac{3}{72}

\frac{4}{6} + \frac{2}{4}

0. 5^{11}

5 x (x - 2)

3 (x + 1) + 2 (3 x + 4)

What is simplify-5sqrt(-63) ?
The solution to simplify-5sqrt(-63) is -15sqrt(7)i