The solution to 2sqrt(-28) is 4sqrt(7)i

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simplify 2sqrt(-28)

Solution

simplify

2 - 28

47 i

Solution steps

2 - 28

Prime factorization of

28 : 2^{2} \cdot 7

= 2 - 2^{2} \cdot 7

Apply radical rule:

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

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

= 2 2^{2} - 7

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 2 - 7

Multiply the numbers:

2 \cdot 2 = 4

= 4 - 7

Apply radical rule:

- a = a - 1

- 7 = 7 - 1

= 47 - 1

Apply imaginary number rule:

- 1 = i

= 47 i

6 \cdot 1 0^{7}

- (x + 1) (x - 2)

2 x (- 2 x)

2 a^{2} + ab - 6 b^{2}

\frac{y ^{2} - 25}{y ^{2} - 10 y + 25}