Find roots
- Ask what number was squared or cubed.
- Use known facts.
- Check by powering the answer.
Answer: ∛27 = 3
🔢 Number
Roots
Learn roots with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Roots is part of number and appears often in KS3–GCSE maths.
- Roots undo powers.
- Use the worked model, help guide, interactive question and flashcards to practise roots until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Roots learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Roots
- Learn the rule: Roots undo powers.
- Worked model: Ask what number was squared or cubed. Use known facts. Check by powering the answer.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
What is √64?
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Roots
BackRoots undo powers.
FrontExample answer: What is √64?
BackThe square root of 64 is 8 because 8² = 64.
FrontCommon check for Roots
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.