SSC GD Square Roots Notes 2026 – Complete Handwritten Notes, Tricks, Formulas & Solved Questions

13

Update: This article has been refreshed with the latest available information.

Square Roots

Detailed Theory • Easy English • SSC GD Exam Focus

Join WhatsAppJoin TelegramVisit Website

Chapter Roadmap

1. Perfect Squares2. Prime Factorisation3. Simplifying Roots4. Estimation10. Practice Questions11. Final Revision

✍️ For More Notes Visit UniversityScope.com ✍️

1. Perfect Squares

A perfect square is a number that can be written as the square of an integer.

\[\boxed{n^2=n\times n}\]

Solved Example

Question: Find √144

1. Identify the given values carefully.
2. Write the required formula.
3. Substitute the values step by step.
4. Simplify the calculation.
5. Answer: Since 12×12=144, √144=12.

Practice Example 2

Apply the same concept to a similar SSC GD question and keep units consistent.

1. Read the question.
2. Write the known values.
3. Choose the correct formula.
4. Calculate carefully.
5. Box the final answer.

Practice Example 3

Check your answer using the reverse calculation wherever possible.

1. Write the required relation.
2. Substitute the values.
3. Simplify each step.
4. Check the result.
5. Final: The answer follows from the formula above.

2. Prime Factorisation

For square roots, make pairs of equal prime factors and take one from each pair.

\[\boxed{\sqrt{a^2b^2}=ab}\]

Solved Example

Question: √144 by factors

1. Identify the given values carefully.
2. Write the required formula.
3. Substitute the values step by step.
4. Simplify the calculation.
5. Answer: 144=2×2×2×2×3×3, so √144=2×2×3=12.

Practice Example 2

Apply the same concept to a similar SSC GD question and keep units consistent.

1. Read the question.
2. Write the known values.
3. Choose the correct formula.
4. Calculate carefully.
5. Box the final answer.

Practice Example 3

Check your answer using the reverse calculation wherever possible.

1. Write the required relation.
2. Substitute the values.
3. Simplify each step.
4. Check the result.
5. Final: The answer follows from the formula above.

3. Simplifying Roots

Separate perfect-square factors from the remaining factor.

\[\boxed{\sqrt{ab}=\sqrt a\sqrt b}\]

Solved Example

Question: Simplify √72

1. Identify the given values carefully.
2. Write the required formula.
3. Substitute the values step by step.
4. Simplify the calculation.
5. Answer: √72=√(36×2)=6√2.

Practice Example 2

Apply the same concept to a similar SSC GD question and keep units consistent.

1. Read the question.
2. Write the known values.
3. Choose the correct formula.
4. Calculate carefully.
5. Box the final answer.

Practice Example 3

Check your answer using the reverse calculation wherever possible.

1. Write the required relation.
2. Substitute the values.
3. Simplify each step.
4. Check the result.
5. Final: The answer follows from the formula above.

4. Estimation

Use nearby perfect squares to estimate a non-perfect square root.

\[\boxed{a^2

Solved Example

Question: Estimate √50

1. Identify the given values carefully.
2. Write the required formula.
3. Substitute the values step by step.
4. Simplify the calculation.
5. Answer: 49<50<64, so 7<√50<8.

Practice Example 2

Apply the same concept to a similar SSC GD question and keep units consistent.

1. Read the question.
2. Write the known values.
3. Choose the correct formula.
4. Calculate carefully.
5. Box the final answer.

Practice Example 3

Check your answer using the reverse calculation wherever possible.

1. Write the required relation.
2. Substitute the values.
3. Simplify each step.
4. Check the result.
5. Final: The answer follows from the formula above.

10. 10 Fully Solved SSC GD Practice Questions

Question 1. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 2. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 3. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 4. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 5. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 6. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 7. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 8. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 9. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

Question 10. SSC GD Square Roots Practice

Solution: Identify the relevant values, select the formula from the notes, substitute carefully and simplify step by step. Always check the final unit or percentage.

\[\boxed{Use\ the\ appropriate\ Square\\,Roots\ formula}\]

Answer: Final value obtained after the stated steps.

11. Final Revision

Must-Remember

• Read the question before choosing a formula.
• Keep units consistent.
• Show important steps.
• Use approximation only when allowed.
• Box the final answer.

✍️ For More Notes Visit UniversityScope.com ✍️

Join WhatsAppJoin TelegramVisit Website

SSC GD Maths • Square Roots

Handwritten-style, mobile-friendly exam notes.

Related Study Resources

• SSC GD Simplification Notes 2026 – Complete Handwritten Notes, Formulas & Solved Questions
• SSC GD Ratio and Proportion Notes 2026 – Complete Handwritten Notes, Theory, Formulas & Solved Questions
• SSC GD Profit and Loss Notes 2026 – Complete Handwritten Notes, Easy Theory, Formulas & Solved Questions
• SSC GD Percentage Notes 2026 – Complete Handwritten Notes, Formulas & Solved Questions