Simplify the fraction with radicalsI want to simplify this fraction 6 + 10 + 15 + 2 6 − 10 + 15 − 2 I've tried to group up the denominator members like ( 6 + 15 ) − ( 10 + 2 ) and then amplify with ( 6 + 15 ) + ( 10 + 2 )

Question

Simplify the fraction with radicalsI want to simplify this fraction                    6            +              10            +              15            +      2                      6            −              10            +              15            −      2      I&#039;ve tried to group up the denominator members like   (      6    +      15    )  −  (      10    +  2  ) and then amplify with   (      6    +      15    )  +  (      10    +  2  )

odczepneyv · Accepted Answer

HINT :      6    ±      10    +      15    ±  2  =      3    (      5    +      2    )  ±      2    (      5    +      2    )  =  (      5    +      2    )  (      3    ±      2    )

Loreenwk · Accepted Answer

For this system we implemented finding a split form for the denomiator:  a  +      p      bSuch that       p   is a new radical. For a quotient we then have:      c          a      +              p                  b        =            c            (      a      −              p                  b      )                      a        2            −      p                    b        2            Lets give it a try:            2      +              6            +              10            +              15                    −      2      +              6            −              10            +              15              =            2      +              15            +              2            (              3            +              5            )              −      2      +              15            +              2            (              3            −              5            )        =            (      2      +              15            +              2            (              3            +              5            )      )            (      −      2      +              15            −              2            (              3            −              5            )      )              (      −      2      +              15                    )        2            −      2      (              3            −              5                    )        2              =            15      +      6              6              3    =  5  +  2      6

Simplify the fraction with radicals I want to simplify this fraction <msqrt>

Answered question

Answer & Explanation

New Questions in Pre-Algebra