Library / /15 of 99

, 2024

Algebra Difficulty 1.0 Junior Prove it United Kingdom

What is the value of $|\sqrt{123} - 456| + |\sqrt{123} + 456|$ ? The modulus function, $|x|$ is given by $|x| = x$ for $x \geq 0$ , and $|x| = -x$ for $x < 0$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.