1.

If a=1+square root 7 find the value of -6/a​

Answer»

ANSWER

Given:

a = 1 + \sqrt{7}

To FIND:

\frac{ - 6}{a}

SOLUTION:

\frac{ - 6}{a} = \frac{ - 6}{1 + \sqrt{7} }

= > \frac{ - 6(1 - \sqrt{7)} }{1 + \sqrt{7}(1 - \sqrt{7}) }

= > \frac{ - 6 + 6 \sqrt{7} }{ {1}^{2} - { \sqrt{7} }^{2} }

= > \frac{6 \sqrt{7 } - 6}{1 - 7}

= > \frac{6 \sqrt{7} - 6}{ - 6}

= > \frac{6 - 6 \sqrt{7} }{6}


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