How do you simplify sqrt(44/9)*sqrt(18/7)*sqrt(35/72)4491873572?

1 Answer
Feb 18, 2017

sqrt(44/9)*sqrt(18/7)*sqrt(35/72)=1/3sqrt554491873572=1355

Explanation:

sqrt(44/9)*sqrt(18/7)*sqrt(35/72)4491873572

= sqrt((2xx2xx11)/(3xx3))*sqrt((2xx3xx3)/7)*sqrt((7xx5)/(2xx2xx2xx3xx3))2×2×113×32×3×377×52×2×2×3×3

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

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

= 1/3sqrt55