How do you simplify $sqrt(8) / sqrt(3)$ ?

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Answer 1 · 2016-09-09T18:28:14

$(2 sqrt(6)) / (3)$

We have: $(sqrt(8)) / (sqrt(3))$

Let's express the numerator as a product:

$= (sqrt(4) cdot sqrt(2)) / (sqrt(3))$

$= (2 sqrt(2)) / (sqrt(3))$

Then, let's rationalise the denominator:

$= (2 sqrt(2)) / (sqrt(3)) cdot (sqrt(3)) / (sqrt(3))$

$= (2 cdot sqrt(6)) / (3)$

$= (2 sqrt(6)) / (3)$

How do you simplify sqrt(8) / sqrt(3)sqrt(8) / sqrt(3)?