Rearranging with a root in the denominator....

[MurraySchwartz]

I am stuck on the following.....I need to rearrange the following expression to solve for L:

X = (2Pi * R)/ Sqrt L(L+1)

I start with multiplying both sides by SQRT L(L+1) to get

SQRT L(L+1) * X = SQRT L(L+1) * [(2Pi * R) / SQRT L(L+1)]

and then after cancelling SQRT L(L+1) from the right hand side:

SQRT L(L+1) * X = (2Pi * R)

Next I divide both sides by x and get:

(SQRT L(L+1) * X)/X = (2Pi * R)/X

After cancelling X from the left hand side I get:

SQRT L(L+1) = (2Pi * R)/X

I remove the root from the left by squaring the right to get :

L(L+1) = [2Pi *R/X]^2

and now I am stuck.....Any help anyone can give would be appreciated.

 

[MurraySchwartz]

Thanks Denis!...Perfect....