What is factor sqrt(-75x^5) ?

The solution to factor sqrt(-75x^5) is 5sqrt(3)ix^2sqrt(x)

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factor sqrt(-75x^5)

factor

- 75 x^{5}

53 i x^{2} x

Solution steps

- 75 x^{5}

Apply radical rule:

- a = - 1 a,

assuming

a \geq 0

- 75 x^{5} = - 1 75 x^{5}

= - 1 75 x^{5}

Apply imaginary number rule:

- 1 = i

= i 75 x^{5}

Apply radical rule:

assuming

a \geq 0, b \geq 0

75 x^{5} = 75 x^{5}

= 75 i x^{5}

75 = 53

= 53 i x^{5}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= i 53 x^{4} x^{1}

Apply radical rule:

a \cdot b = a b

= i 53 x^{4} x^{1}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

x^{4} = x^{2 \cdot 2} = (x^{2})^{2}

= i 53 (x^{2})^{2} x^{1}

Apply radical rule:

assuming

a \geq 0

(x^{2})^{2} = x^{2}

= 53 i x^{2} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= 53 i x^{2} x

2 a + (x + y) + 3 b + (x + y)

x (x - 3) (x - 9^{2})

x y + x y^{^{'}} z

2 - \infty - \infty (\infty)

f (x) e^{x} ln (x)

What is factor sqrt(-75x^5) ?
The solution to factor sqrt(-75x^5) is 5sqrt(3)ix^2sqrt(x)