How do you simplify $sqrt(15xy)/(3sqrt(10xy^3))$ ?

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Answer 1 · 2018-05-12T14:11:37

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please follow the picture . I am too lazy to type in keybord :(

Answer 2 · 2018-05-12T15:17:35

$sqrt6/(6y)$

Combine the two roots into one. Then simplify.

$sqrt(15xy)/(3sqrt(10xy^3)) = 1/3sqrt((15cancelxy)/(10cancelxy^3)$

$= 1/3sqrt(3/(2y^2)$

$=1/(3y)sqrt3/sqrt2" "larr$ rationalise the denominator.

$=1/(3y)sqrt3/sqrt2 xx sqrt2/sqrt2$

$= (sqrt3 xxsqrt2)/(3yxx2)$

$=sqrt6/(6y)$

How do you simplify sqrt(15xy)/(3sqrt(10xy^3))sqrt(15xy)/(3sqrt(10xy^3))?