Solve the Equation Below:

q.no. 117

  1. 8
  2. 1/2
  3. 2
  4. 4
Monis Rasool Professor Asked on 7th July 2015 in Maths.
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1 Answer(s)

Answer: sqrt.2/3
Explanation:-
sqrt.[10 + sqrt.{25 + sqrt.(108 + sqrt.(154 + sqrt.(225)))}]/3sqrt.8
= sqrt.[10 + sqrt.{25 + sqrt.(108 + sqrt.(154 + 15))}]/3sqrt.8
= sqrt.[10 + sqrt.{25 + sqrt.(108 + sqrt.(169))}]/3sqrt.8
= sqrt.[10 + sqrt.{25 + sqrt.(108 + 13)}]/3sqrt.8
= sqrt.[10 + sqrt.{25 + sqrt.(121)}]/3sqrt.8
= sqrt.[10 + sqrt.{25 + 11}]/3sqrt.8
= sqrt.[10 + sqrt.36]/3sqrt.8
= sqrt.[10 + 6}/3sqrt.8
= sqrt.[16}/3sqrt.8
= 4/3sqrt.8
= 4 /3 x 2 sqrt.2
= 2/3sqrt2
= sqrt2/3
Hence, the answer is sqrt.2/3.

Anurag Mishra Professor Answered on 8th July 2015.
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