find the values of a and b in each of the following : 3 + \sqrt{2} \div 3 - \sqrt{2 } = a + b \sqrt{2}

Question

find the values of a and b in each of the following :
3 +  \sqrt{2}  \div 3 -  \sqrt{2 }  = a + b \sqrt{2}

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Isabella 4 months 2021-09-24T15:16:40+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-24T15:17:59+00:00

    ANSWER

    A = 11 / 7 AND B = 6 / 7

    QUESTION

    3 + √2 / 3 – √2 = a + b√2

    TO FIND VALUE OF A AND B

    Rationalize the following terms:-

    => 3 + √2 / 3 – √2 X 3 + √2 / 3 + √2

    => ( 3 + √2 ) ^2 / 9 – 2

    => 9 + 2 + 6 √2 / 7

    => 11 + 6√2 / 7 = a + b√2

    a = 11 / 7 and b = 6 / 7 = ANSWER

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