How do you simplify $sqrt(44/9)sqrt(18/7)sqrt(35/72)$ ?

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Answer 1 · 2017-02-18T17:03:35

$sqrt(44/9)*sqrt(18/7)*sqrt(35/72)=1/3sqrt55$

$sqrt(44/9)*sqrt(18/7)*sqrt(35/72)$

= $sqrt((2xx2xx11)/(3xx3))*sqrt((2xx3xx3)/7)*sqrt((7xx5)/(2xx2xx2xx3xx3))$

= $sqrt((cancel(2xx2)xx11)/(cancel(3xx3)))*sqrt((cancel2xxcancel(3xx3))/cancel7)*sqrt((cancel7xx5)/(cancel2xxcancel(2xx2)xx3xx3))$

= $sqrt((11xx5)/(3xx3)$

= $1/3sqrt55$

How do you simplify sqrt(44/9)*sqrt(18/7)*sqrt(35/72)sqrt(44/9)*sqrt(18/7)*sqrt(35/72)?