Simplifying Surds

    Question
    √ 12

    Answer 2 √ 3



    Question
    √ 50

    Answer 5 √ 2



    Question
    √ 245

    Answer 7 √ 5



    Question
    √ 162

    Answer 9 √ 2



    Question
    √ 48 + √ 12

    Answer 6 √ 3



    Question
    √ 50 − √ 18

    Answer 2 √ 2



    Question
    √ 50 + √ 8

    Answer 7 √ 2



    Question
    √ 72 − √ 18

    Answer 3 √ 2



    Expand and Simplify

    Question
    ( √ 3 − 5 ) ( √ 3 − 4 )

    Answer 23 − 9 √ 3



    Question
    ( √ 2 + 5 ) ( √ 2 − 3 )

    Answer − 13 + 2 √ 2



    Question
    ( √ 3 − 3 ) ( √ 3 − 2 )

    Answer 9 − 5 √ 3



    Question
    ( √ 5 + 2 ) ( √ 5 − 3 )

    Answer − 1 − √ 5



    Question
    ( √ 2 − 1 ) ( √ 2 + 1 )

    Answer 1



    Question
    ( √ 3 + 3 ) ( √ 12 + 1 )

    Answer 9 + 7 √ 3



    Question
    ( √ 27 + 2 ) ( √ 27 + 3 )

    Answer 33 + 15 √ 3



    Question
    ( √ 8 − 4 ) ( √ 18 − 2 )

    Answer 20 − 16 √ 2



    Surds: Rationalising the Denominator

    Question
    1 / √ 3

    Answer √ 3/3



    Question
    3/ √ 2/2

    Answer 3 √ 2/



    Question
    4/ √ 3

    Answer 4 √ 3/3



    Question
    3 / √ 10

    Answer 3 √ 10/10



    Question
    1/ √ 18

    Answer √ 2/6



    Question
    5/ √ 20

    Answer √ 5/2



    Question
    5/ √ 18

    Answer 5 √ 2/6



    Question
    2/ √ 8

    Answer √ 2/2



    Question
    ( 2 + √ 6 ) / ( 3 + √ 6 )

    Answer 0 + √ 6/3



    Question
    ( 3 + √ 6 ) / ( 4 + √ 6 )

    Answer 6 + √ 6/10



    Question
    ( 1 + √ 6 ) / ( 4 − √ 6 )

    Answer 2 + √ 6/2



    Question
    ( 3 − √ 5 ) / ( 6 − √ 5 )

    Answer 13 − 3 √ 5/31



    Question
    ( 2 + √ 12 ) / ( 5 + √ 12 )

    Answer − 2 + 6 √ 3/13



    Question
    ( 3 + √ 3 ) / ( 4 − √ 48 )

    Answer − 3 − 2 √ 3/4



    Question
    ( 2 − √ 80 ) / ( 4 + √ 45 )

    Answer − 68 + 22 √ 5 / 29



    Question
    ( 2 + √ 2 ) / ( 5 + √ 32 )

    Answer − 2 + 3 √ 2/7



10th October 2019

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