What is (sqrt(-72))/(sqrt(3)) ?

The solution to (sqrt(-72))/(sqrt(3)) is 2sqrt(6)i

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simplify (sqrt(-72))/(sqrt(3))

simplify

\frac{- 72}{3}

26 i

Solution steps

\frac{- 72}{3}

- 72 = 72 i

= \frac{72 i}{3}

Factor

72 : 2 \cdot 32

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

Cancel

\frac{i 2 2 \cdot 3}{3} : i 223

= i 223

Apply radical rule:

a b = a \cdot b

23 = 2 \cdot 3

= 2 i 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 26 i

lo g_{27} (49)

(b)^{- \frac{2}{d}}

lo g_{2} (3 - 2)

\frac{0}{in f ini t y}

16 i^{2}

What is (sqrt(-72))/(sqrt(3)) ?
The solution to (sqrt(-72))/(sqrt(3)) is 2sqrt(6)i