What is (sqrt(-175))/(sqrt(7)) ?

The solution to (sqrt(-175))/(sqrt(7)) is 5i

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simplify (sqrt(-175))/(sqrt(7))

simplify

\frac{- 175}{7}

5 i

Solution steps

\frac{- 175}{7}

Apply radical rule:

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

\frac{- 175}{7} = \frac{- 175}{7}

= \frac{- 175}{7}

\frac{- 175}{7} = - 25

= - 25

Apply radical rule:

- a = - 1 a

- 25 = - 1 25

= - 1 25

Apply imaginary number rule:

- 1 = i

= 25 i

25 = 5

= 5 i

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