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


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


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


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