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NumberStudy Notes

Worked Example 2: Finding Square Roots

Part of Powers & Roots — GCSE Mathematics

This study notes covers Worked Example 2: Finding Square Roots within Powers & Roots for GCSE Mathematics. Revise Powers & Roots in Number for GCSE Mathematics with 15 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 8 of 13 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 8 of 13

Practice

15 questions

Recall

22 flashcards

Worked Example 2: Finding Square Roots

Find: √196

Solution

Think: What number × itself = 196?

Try 14: 14² = 196 ✓

Therefore √196 = 14

Memorizing squares up to 20² helps!

Keep building this topic

Read this section alongside the surrounding pages in Powers & Roots. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 1: Evaluating PowersWorked Example 3: Negative BasesThe Power of PowersUnderstanding Powers and Roots

Practice Questions for Powers & Roots

What is the value of 2⁻³?

  • A. -8
  • B. -6
  • C. ⅛
  • D. ⅓
1 markfoundation

Explain why x⁻¹ = 1/x

2 markshigher

Quick Recall Flashcards

Cubes: 1³ to 5³
1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125
Powers of 10
10¹ = 10 10² = 100 10³ = 1,000 10⁴ = 10,000 10⁵ = 100,000 10⁶ = 1,000,000 Pattern: n zeros after 1

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Worked Example 1: Evaluating Powers

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Worked Example 3: Negative Bases