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5+2√3 7+4√3=a-b√3 find the value of …

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5+2√3 7+4√3=a-b√3 find the value of a any b

Posted by Yash Kumar 8 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Rashmi Bajpayee 8 years, 4 months ago

{tex}{{5 + 2\sqrt 3 } \over {7 + 4\sqrt 3 }} = a - b\sqrt 3 {/tex}

=> {tex}{{5 + 2\sqrt 3 } \over {7 + 4\sqrt 3 }} \times {{7 - 4\sqrt 3 } \over {7 - 4\sqrt 3 }} = a - b\sqrt 3 {/tex}

=> {tex}{{35 - 20\sqrt 3 + 14\sqrt 3 - 24} \over {49 - 48}} = a - b\sqrt 3 {/tex}

=> {tex}11 - 6\sqrt 3 = a - b\sqrt 3 {/tex}

On comparing, we get

{tex}a = 11,b = - 6{/tex}

1Thank You

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