How do you simplify $sqrt(7/3) *sqrt(7/3)$ ?

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Answer 1 · 2015-05-03T11:59:56

We know that $color(blue)(sqrta*sqrtb = sqrt(ab)$

Hence $sqrt(7/3) *sqrt(7/3) = sqrt((7/3)(7/3))$

$= sqrt(7^2/3^2)$

$= sqrt((7/3)^2)$

$= color(green)(7/3)$

$sqrt(7/3) *sqrt(7/3) = 7/3$

How do you simplify sqrt(7/3) *sqrt(7/3)sqrt(7/3) *sqrt(7/3)?