What is simplify sqrt((-56)/(65)) ?

The solution to simplify sqrt((-56)/(65)) is i(2sqrt(910))/(65)

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Evaluate square root of -56/65

simplify

\frac{- 56}{65}

i \frac{2 910}{65}

Solution steps

\frac{- 56}{65}

Apply the fraction rule:

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

= - \frac{56}{65}

Apply radical rule:

- a = - 1 a

- \frac{56}{65} = - 1 \frac{56}{65}

= - 1 \frac{56}{65}

Apply imaginary number rule:

- 1 = i

= i \frac{56}{65}

Apply radical rule:

n \frac{a}{b} = \frac{n a}{n b},

assuming

a \geq 0, b \geq 0

\frac{56}{65} = \frac{56}{65}

= i \frac{56}{65}

56 = 214

= i \frac{2 14}{65}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 14 i}{65}

Rationalize

\frac{2 14 i}{65} : \frac{2 910 i}{65}

= \frac{2 910 i}{65}

Rewrite

\frac{2 910 i}{65}

in standard complex form:

\frac{2 910}{65} i

= \frac{2 910}{65} i

r + (- 5 r)

(\frac{1}{( x ^{3} )})^{2}

x, 1 0^{- 3 x} \cdot 1 0^{x} = \frac{1}{10}

(- 10) (13)

3 x^{2} - 10 x + 7 = 0

What is simplify sqrt((-56)/(65)) ?
The solution to simplify sqrt((-56)/(65)) is i(2sqrt(910))/(65)