Question

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

Answer 1

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

Explanation:

`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`