mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

Products and sums of squares

Show that the product of any two numbers, each of which is the sum of two square integers, is itself the sum of two square integers.

Show answer & extension

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

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

integers unit fractions star numbers factorials square grids geometry square numbers medians quadratics arrows spheres cryptic crossnumbers tangents sets digital clocks percentages chalkdust crossnumber addition sums rectangles sum to infinity functions complex numbers probability perfect numbers fractions neighbours even numbers integration crossnumbers doubling factors ellipses scales planes irreducible numbers coins lists triangles proportion volume advent 3d shapes multiplaction squares coordinates consecutive numbers multiples algebra games shape pentagons polynomials clocks grids time dominos floors albgebra products tournaments division axes trigonometry crosswords sequences mean chocolate matrices powers gerrymandering palindromes balancing the only crossnumber shapes digital products remainders bases quadrilaterals numbers means regular shapes rugby angles folding tube maps calculus routes people maths median tiling books digits geometric means surds expansions lines money probabilty dodecagons squares indices christmas speed elections colouring prime factors cubics graphs wordplay decahedra multiplication dice square roots 2d shapes pascal's triangle cards prime numbers polygons sport perimeter hexagons taxicab geometry dates binary differentiation symmetry xor consecutive integers combinatorics cryptic clues triangle numbers chess number cube numbers range averages odd numbers geometric mean logic determinants parabolas ave circles area partitions menace

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026