Click here to win prizes by solving the puzzle Advent calendar.
Click here to win prizes by solving the puzzle Advent calendar.



What is the sum?

What is \(\displaystyle\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+...+\frac{1}{\sqrt{15}+\sqrt{16}}\)?

Show answer

If you enjoyed this puzzle, check out Sunday Afternoon Maths LI,
puzzles about fractions, or a random puzzle.


Show me a random puzzle
 Most recent collections 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles


3d shapes multiples ellipses crossnumbers division dice symmetry taxicab geometry triangle numbers unit fractions speed probabilty remainders angles bases folding tube maps trigonometry perfect numbers books cube numbers graphs numbers rectangles triangles time sequences grids complex numbers integers number chess dodecagons star numbers wordplay coins multiplication calculus scales factorials factors area ave partitions perimeter dates chalkdust crossnumber arrows shape digits differentiation hexagons clocks lines palindromes parabolas sums pascal's triangle indices volume percentages proportion chocolate square numbers fractions prime numbers planes quadratics people maths routes surds circles cards irreducible numbers functions coordinates cryptic clues regular shapes integration square roots shapes algebra balancing polygons logic sport mean probability squares christmas rugby geometry sum to infinity odd numbers averages floors spheres doubling crosswords money menace advent means games addition cryptic crossnumbers colouring 2d shapes


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2019