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Question from Rubén, a teacher:

I have the ecuation:

U = [yb / (ab+a^2)]^1/2 + [ya / (ab+b^2)]^1/2

I know for sure this reduces to

U = [y (1/a + 1/b)]^1/2

but I cannot find a way to get into that result!

Thanks

Rubén wrote back that he solved this problem and sent us his solution. It is a nice exercise in manipulating algebraic expressions so I have posted his solution for others to see. Her is what Rubén sent us

Harley

I have solved the problem!!!

solution step 1

Squared and root:

solution step 2

then

solution step 3

Considering (a+b)/ab = (1/a + 1/b)...

solution step 4

Rubén

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