Question

(4+root 13/4-root 13) - ( 4-root13/4 + root 13) Simplify By Rationalizing The Denominator....​

Answer 1

Answer:

$= (\frac{4 + \sqrt{13} }{4 - \sqrt{13} } ) - ( \frac{4 - \sqrt{13} }{4 + \sqrt{13} } ) \\ = (\frac{4 + \sqrt{13} }{4 - \sqrt{13} } \times \frac{4 + \sqrt{13} }{4 + \sqrt{13} } ) -( \frac{4 - \sqrt{13} }{4 + \sqrt{13} } \times \frac{4 - \sqrt{13} }{4 - \sqrt{13} } )\\ = (\frac{16 + 13 + 8 \sqrt{13} }{16 - 13}) - ( \frac{16 + 13 - 8 \sqrt{13} }{16 - 13} ) \\ = \frac{ 29 + 8 \sqrt{13} }{3} - \frac{29 + 8 \sqrt{13} }{3} \\ = \frac{29 - 29 + 8 \sqrt{13} + 8 \sqrt{13} }{3} \\ = \frac{16 \sqrt{13} }{3}$

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Answer 2

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