What is sqrt((-5)/((2x^2+6))) ?

The solution to sqrt((-5)/((2x^2+6))) is isqrt(5/(2x^2+6))

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simplify sqrt((-5)/((2x^2+6)))

simplify

\frac{- 5}{( 2 x ^{2} + 6 )}

i \frac{5}{2 x ^{2} + 6}

Solution steps

\frac{- 5}{2 x ^{2} + 6}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5}{2 x ^{2} + 6}

Apply radical rule:

- a = - 1 a,

assuming

a \geq 0

- \frac{5}{2 x ^{2} + 6} = - 1 \frac{5}{2 x ^{2} + 6}

= - 1 \frac{5}{2 x ^{2} + 6}

Apply imaginary number rule:

- 1 = i

= i \frac{5}{2 x ^{2} + 6}

- \frac{7}{8} \cdot a^{m} \cdot \frac{b ^{n}}{( - \frac{3}{4} )} \cdot a \cdot b^{2}

\frac{1}{1 - \frac{v ^{2}}{c ^{2}}}

(a - 3 b^{2})^{3}

(5 y^{2})^{2}

2 x^{4} - 2 y^{2} + 2 x^{2} y^{2} - 2

What is sqrt((-5)/((2x^2+6))) ?
The solution to sqrt((-5)/((2x^2+6))) is isqrt(5/(2x^2+6))