If m-1-3-8 and n-1-3-8- Find mn

We are given m= 1 3 √( 8 ) #160; and #160; n= 1 3+√( 8 ) #160; and we find the product mn as shown below: mn=( 1 3 √( 8 ) #160; ...

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Addition of Rational Expressions

If m=1/3-√8...

Question

If $m = \frac{1}{3 - \sqrt{8}}$ and $n = \frac{1}{3 + \sqrt{8}}$ , Find mn

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Solution

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m = \frac{1}{3 - \sqrt{8}}

n = \frac{1}{3 + \sqrt{8}}

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{(\frac{m}{n})}^{\frac{3}{8}} + {(\frac{n}{m})}^{\frac{3}{8}} = - 18

{(\frac{m}{n})}^{\frac{1}{8}} + {(\frac{n}{m})}^{\frac{1}{8}}

m n = \frac{1}{(3 - \sqrt{8}) \times (3 + \sqrt{8})}

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