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Popular >

simplify (sqrt(-80))/(sqrt(10))

Solution

simplify

\frac{- 80}{10}

Solution

22 i

Solution steps

\frac{- 80}{10}

- 80 = 80 i

= \frac{80 i}{10}

Factor

80 : 2^{2} 5

Factor

10 : 25

= \frac{2 ^{2} 5 i}{2 5}

Cancel

\frac{i 2 ^{2} 5}{2 5} : 2^{\frac{3}{2}} i

= 2^{\frac{3}{2}} i

2^{\frac{3}{2}} = 22

= 22 i

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Frequently Asked Questions (FAQ)

What is (sqrt(-80))/(sqrt(10)) ?
The solution to (sqrt(-80))/(sqrt(10)) is 2sqrt(2)i