Pertanyaan

Jika 10 − 4 6 10 + 4 6 = a + b 6 , maka a + b = ....

Jika $\frac{10 + 4 6}{10 - 4 6} = a + b 6$ , maka $a + b = ....$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of fraction numerator 10 plus 4 square root of 6 over denominator 10 minus 4 square root of 6 end fraction end root end cell equals cell a plus b square root of 6 end cell row cell fraction numerator square root of 10 plus 4 square root of 6 end root over denominator square root of 10 minus 4 square root of 6 end root end fraction cross times fraction numerator square root of 10 plus 4 square root of 6 end root over denominator square root of 10 plus 4 square root of 6 end root end fraction end cell equals cell a plus b square root of 6 end cell row cell fraction numerator 10 plus 4 square root of 6 over denominator square root of open parentheses 10 minus 4 square root of 6 close parentheses left parenthesis 10 plus 4 square root of 6 right parenthesis end root end fraction end cell equals cell a plus b square root of 6 end cell row cell fraction numerator 10 plus 4 square root of 6 over denominator square root of 100 minus 16 left parenthesis 6 right parenthesis end root end fraction end cell equals cell a plus b square root of 6 end cell row cell fraction numerator 2 open parentheses 5 plus 2 square root of 6 close parentheses over denominator square root of 100 minus 96 end root end fraction end cell equals cell a plus b square root of 6 end cell row cell fraction numerator 2 left parenthesis 5 plus 2 square root of 6 right parenthesis over denominator square root of 4 end fraction end cell equals cell a plus b square root of 6 end cell row cell fraction numerator 2 left parenthesis 5 plus 2 square root of 6 right parenthesis over denominator 2 end fraction end cell equals cell a plus b square root of 6 end cell row cell 5 plus 2 square root of 6 end cell equals cell a plus b square root of 6 end cell row blank blank blank row a equals 5 row b equals 2 row cell a plus b end cell equals cell 5 plus 2 end cell row blank equals 7 end table end style$