SOLUTION: Solve the equation and sqrt( 8x ) + sqrt( 2x )- sqrt( x/8 ) =110. 

Algebra ->  Equations -> SOLUTION: Solve the equation and sqrt( 8x ) + sqrt( 2x )- sqrt( x/8 ) =110.       Log On


   



Question 987322: Solve the equation and sqrt( 8x ) + sqrt( 2x )- sqrt( x/8 ) =110. 
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Instead of doing yours for you I'll do one exactly like yours in every
detail, so you can use it as a model to do yours by.  I'll do this one
instead:


sqrt%2827x%29+%2B+sqrt%283x%29-sqrt%28x%2F27%29%22%22=%22%22350

Write the square root of a fraction as a fraction of
square roots:

sqrt%2827x%29+%2B+sqrt%283x%29-sqrt%28x%29%2Fsqrt%2827%29%29%22%22=%22%22350
                     _
Multiply through by √27

sqrt%28729x%29+%2B+sqrt%2881x%29-sqrt%28x%29%22%22=%22%22350sqrt%2827%29

 Take out the square roots of 729 and 81 as 27 and 9 on the left

27sqrt%28x%29+%2B+9sqrt%28x%29-sqrt%28x%29%22%22=%22%22350sqrt%2827%29

Combine the like terms on the left

35sqrt%28x%29%22%22=%22%22350sqrt%2827%29

Divide both sides by 35

sqrt%28x%29%22%22=%22%2210sqrt%2827%29

Square both sides

x%22%22=%22%22100%2827%29

x%22%22=%22%222700

Now do yours the same way:

Edwin