Question

If y= (32-√600-√54)/(8+√150-√24), then find √y

Answer 1

Answer:

y= (32-√600-√54)/(8+√150-√24)

y = ( 32 - 10 √6 - 3 √6 ) / ( 8 + 5√6 - 2√6 )

  = ( 32 - 13√6 )/  ( 8 + 3√6 )

  = ( 32 - 13√6 ) ( 8 - 3√6 ) / ( 64 - 54 )

  =( 256 - 96√6 - 104 √6 + 234 )/ 10

  = (490 -  200 √6 ) / 10

  = 49 - 20 √6

√y = √( 49 - 20 √6  )

     = 0.101 ( answer )

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