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 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024