How do you simplify $sqrt(64/81)$ ?

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Answer 1 · 2016-06-05T09:12:09

$= 8/9$

For multiplication and division involving roots, you can find the roots separately.

So $sqrt(64/81) = sqrt64/sqrt81$

$= 8/9$

However for addition and subtraction you have to work with the terms as they are given

$sqrt(16 + 9) " is not the same as " sqrt16 +sqrt9$

$= sqrt25 " "= 4 + 3$

$= 5 " "= 7$

How do you simplify sqrt(64/81)sqrt(64/81)?