How do you simplify sqrt(44/9)*sqrt(18/7)*sqrt(35/72)√449⋅√187⋅√3572?

1 Answer
Shwetank Mauria
Feb 18, 2017

sqrt(44/9)*sqrt(18/7)*sqrt(35/72)=1/3sqrt55√449⋅√187⋅√3572=13√55

Explanation:

sqrt(44/9)*sqrt(18/7)*sqrt(35/72)√449⋅√187⋅√3572

= sqrt((2xx2xx11)/(3xx3))*sqrt((2xx3xx3)/7)*sqrt((7xx5)/(2xx2xx2xx3xx3))√2×2×113×3⋅√2×3×37⋅√7×52×2×2×3×3

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

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

= 1/3sqrt55

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