The square root and cube root of a number is equal to 36. What is the number ?

Can this really be solved by logarithms ?

I got far as log ( 36 - y raised to 1/2 ) = log y

I don't know what to do next ?

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- Dec 5th 2010, 11:07 AMdugongstersquare root + cube root of a number
The square root and cube root of a number is equal to 36. What is the number ?

Can this really be solved by logarithms ?

I got far as log ( 36 - y raised to 1/2 ) = log y

I don't know what to do next ? - Dec 5th 2010, 11:14 AMe^(i*pi)

Logarithms seem like more trouble than they're worth.

Let (6 is the LCD of 2 and 3).

Thus we get . u^3 comes from the rules of surds, namely:

Solve the polynomial for u and then it should be trivial to find the value of x but remember to check for extraneous results and that any solution is in the domain

**edit 2**: Hint f(3) = 0

If you don't mean adding them then please clarify what the question wants - Dec 5th 2010, 11:35 AMdugongster
You're the man !