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

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

Archive

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