# Mathsfreak

Most popular questions and responses by Mathsfreak
1. ## mathematics

It can be shown that for any positive integer n, the infinitely nested radical expression (n+(n+(n+....)^1/2)^1/2)^1/2 equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer? Details

2. ## mathematics

Let A be a subset of T={1,2,…,100} subject to the condition that if 2 distinct elements a and b are in A, then a+b is not in A. What is the maximum value of |A|, which is the number of elements in A?

3. ## mathematics

x,y and z are complex numbers that satisfy the equations x+y+z=2, xy+yz+zx=3 and xyz=4. Given that 1/(1−x−yz)+1(1−y−zx)+1(1−z−xy)=ab, where a and b are coprime positive integers, what is the value of a+b?

4. ## Maths

There are 100 runners, each given a distinct bib labeled 1 to 100. What is the most number of runners that we could arrange in a circle, such that the product of the numbers on the bibs of any 2 neighboring runners, is less than 1000?

1. ## algebra

the term is (x^2 + 2x -1)^8 :)

posted on April 29, 2013
2. ## Physics :(( help please TT

posted on April 25, 2013
3. ## Physics

Still a simple careless mistake : 1-9972=0.0028 nt 27.:)

posted on April 24, 2013
4. ## math

17

posted on April 24, 2013
5. ## Maths

Mind ur language,geezer.What on this earth is Brilliant anyways.Please check out 'The 1001 combinatorics problems' by 'Springer' problem #79 before blaming me..........:p

posted on April 19, 2013
6. ## Maths

In any order ,I guess, as it hasn't been particularly specified!The question is an exact copy from the springer book on 'Combinatorics'.

posted on April 18, 2013
7. ## maths-urgent

Well............u cheat quite well.Should I report this to the authorities? :p

posted on April 18, 2013
8. ## probability

496...............:)

posted on April 18, 2013
9. ## Maths

I tried using circular permutations......but the answer didn't tally.Also..............31 is a wrong answer

posted on April 18, 2013