JALCOG Adaptive TutorGuidesHelp for parents

Why does my child think √9 is irrational?

Your child counts every square root as irrational, such as √9, which is 3.

Why children do it

The roots they meet as irrational, √2 and √5, make every root look that way. But a root of a square number is a whole number: √9 is 3, and 3 can be written as 3/1, so it's rational. Working out each root first sorts them.

How to help at home

Ask them to work out each root first: √9 is 3, a whole number, so it's rational.

The right way

How many of these are irrational: √4, 1/3, √5, π, √9?

  1. 2√4 = 2, √9 = 3 and 1/3 are rational; √5 and π are irrational.

Find out where your child is

A free maths check, in about 15 minutes, shows what your child knows and the mistakes they make. No sign-up.

Start the free check

Related mistakes

All the common mistakes