SOLUTION: Please help I have no idea how to solve this problem! 3√2 over x = √3 over 4√5

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Question 84877: Please help I have no idea how to solve this problem!
3√2 over x = √3 over 4√5
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3√2 over x = √3 over 4√5
:
3sqrt%282%29%2Fx = sqrt%283%29%2F4sqrt%285%29
:
Cross multiply:
3sqrt%282%29%2A4sqrt%285%29 = x%2Asqrt%283%29
:
3%2A4%2Asqrt%282%2A5%29 = x%2Asqrt%283%29
:
12%2Asqrt%2810%29 = x%2Asqrt%283%29
:
Square both sides to get rid of the radicals:
144(10) = 3x^2
:
1440 = 3x^2
:
1440/3 = x^2
:
x^2 = 480
:
x = sqrt%28480%29
:
x = sqrt%2816%2A30%29; find a factor that is a square
:
x = 4sqrt%2830%29; factored out the sqrt of 16
:
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