Question

How do you simplify `sqrt (10/3) *sqrt (4/30)`?

Answer 1

`2/3`

Explanation:

When multiplying or dividing with roots, the numbers under the root can be combined under one root.

`sqrt(10/3 )xx sqrt(4/30) = sqrt ((10 xx 4)/(3xx 30)`

`sqrt ((10 xx 4)/(3xx 30)) = sqrt(40/90) = sqrt(4/9) " simplify"`

`sqrt(4/9) = 2/3`