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How would I be able to create the number $8$ from the numbers $5,5,5,1$ using only addition, subtraction, multiplication, and division. There is no factorial and no square root allowed.

Many thanks!

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2 Answers 2

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You didn't say whether you allow concatenation. I assume the desired solution is $8=5+\frac {15}5$ If you prefer decimals, you can do $\frac {1}{.5 \cdot .5 \cdot .5}$

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  • $\begingroup$ Sir how do you do that ?????? $\endgroup$
    – satyatech
    Jan 27, 2017 at 15:41
  • $\begingroup$ Do what? Find the answer or make the pretty $\frac {15}5$? We have lots of $5$s, so it is natural to look for $3$. $\endgroup$ Jan 27, 2017 at 15:44
  • $\begingroup$ You can't concatenate. !!! Really if you do that that's breaking the rules of mathematics.... $\endgroup$
    – satyatech
    Jan 27, 2017 at 15:45
  • $\begingroup$ In puzzles like this concatenation is often allowed. The first one I saw, which was long ago, was four fours. You just need to be clear on the rules. Sometimes decimal points are allowed, sometimes repeating fractions. With your rules there may not be an answer. $\endgroup$ Jan 27, 2017 at 15:49
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Are you missing two more 5 s from the picture , if you really missed then we can use (((5+1)*5)+5+5)/5 =8 otherwise it's no way possible to get 8 with your question...

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