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Lesechka [4]
3 years ago
11

If x = 3+root8 find the value of :- 1/x​

Mathematics
1 answer:
qaws [65]3 years ago
3 0

Answer:

<u>Value</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>-</u><u> </u><u>√</u><u>8</u>

Step-by-step explanation:

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

rationalise the denominator:

=  \frac{1}{3 +  \sqrt{8} } . \frac{3 -  \sqrt{8} }{3 -  \sqrt{8} }  \\  \\  =  \frac{3 -  \sqrt{8} }{ {3}^{2}  -  {( \sqrt{8}) }^{2} }  \\  \\  =  \frac{3 -  \sqrt{8} }{9 - 8}  \\  \\  = 3 -  \sqrt{8}

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A more direct way to do this is to solve for <em>x</em> in the following equation:

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3 years ago
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zloy xaker [14]

Check the picture below, let's use those two points on the line to get its slope.

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What is the reciprocal of x^2/6x?
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