Roboguru

dan . Nilai  = ...

Pertanyaan

p equals 2 square root of 5 plus 3 square root of 2 dan q equals 3 square root of 2 minus 2 square root of 5. Nilai fraction numerator p q over denominator p minus q end fraction = ...

Pembahasan Soal:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator p q over denominator p minus q end fraction end cell equals cell fraction numerator left parenthesis 2 square root of 5 plus 3 square root of 2 right parenthesis left parenthesis 3 square root of 2 minus 2 square root of 5 right parenthesis over denominator left parenthesis 2 square root of 5 plus 3 square root of 2 right parenthesis minus left parenthesis 3 square root of 2 minus 2 square root of 5 right parenthesis end fraction end cell row blank equals cell fraction numerator 6 square root of 10 minus 20 plus 18 minus 6 square root of 10 over denominator 2 square root of 5 plus 3 square root of 2 minus 3 square root of 2 plus 2 square root of 5 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 4 square root of 5 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 4 square root of 5 end fraction cross times fraction numerator square root of 5 over denominator square root of 5 end fraction end cell row blank equals cell fraction numerator negative 2 square root of 5 over denominator 20 end fraction end cell row blank equals cell negative 1 over 10 square root of 5 end cell end table 

 Jadi, fraction numerator p q over denominator p minus q end fraction equals negative 1 over 10 square root of 5.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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