SOLUTION: Please can someone check this for me please? 15+sqrt{{{54}}}/3 =5+sqrt{{{54}}}/3 =5+sqrt{{{54}}}

Question 81433: Please can someone check this for me please?
15+sqrt/3
=5+sqrt/3
=5+sqrt
Answer by jainenderkapoor(61) (Show Source): You can put this solution on YOUR website!

I believe that the question is
(15 + sqrt(54) )/3
let us first solve the numerator
15 + sqrt(54)
3x5 + sqrt(3x3x3x2) (writing the factors of 15 = 3x5 and 54 = 3x3x3x2)
3x5 + 3sqrt(3x2) (from one pair 3x3 one 3 can be taken out of sqrt)
3(5 + sqrt(6)) (taking out 3 common from both the terms)
3(5 + sqrt(6)) / 3 We have denominator as 3
(5 + sqrt(6)) is the final answer.

Hope the solution is clear to you. In case you have any doubt, you are welcome to contact me on jainenderkapoor@gmail.com I am also available for Online Tutoring at very reasonable price.
Jainender Kapoor

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