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anastassius [24]

3 years ago

11

What is 3.66666... expressed as a fraction in simplest form? Solve and show your work

2 answers:

trasher [3.6K]3 years ago

6 0

3.66666 will be a fraction of 3 6/9, it would be 6/9 due to the fact that 6 is repeating (:

ss7ja [257]3 years ago

4 0

To find a fraction of a repeating decimal place the number of 9's as the number of digits that repeat. In this one ONLY the 6 repeats so the fraction for that would be 6/9 reduced that is 2/3

The fraction is 3 2/3 or 8/3 don't know which form you need.

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jek_recluse [69]

Answer:

$\sqrt{-5}=i\sqrt{5}$

$\sqrt{-25}=5i$

Step-by-step explanation:

i is an imaginary unit, this means

$i^2=-1$

Rewrite -5 as $5\cdot (-1)=5\cdot i^2,$

then

$\sqrt{-5}=\sqrt{5i^2}=\sqrt{5}\cdot \sqrt{i^2}=\sqrt{5}\cdot i=i\sqrt{5}$

Rewrite -25 as $-25=25\cdot (-1)=25\cdot i^2,$

then

$\sqrt{-25}=\sqrt{25\cdot i^2}=\sqrt{25}\cdot \sqrt{i^2}=5\cdot i=5i$

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