Simplify √63 − √175 + √28 Easily | Step-by-Step Solution That Works in All Exams

 vi

Solve √63 − √175 + √28 Without a Calculator | Clear Explanation

Simplify Square Roots Easily: Watch the Video Above

In this lesson, we walk you through how to simplify the expression:

Square root of 63 minus square root of 175 plus square root of 28

This expression is broken down into simpler parts using clear steps, making it easy to understand and solve without confusion. By the end of the video, you will see how each square root is simplified using perfect square factors, and how similar terms are combined. The final answer is easy to reach once each step is explained with logic and clarity.

---

Why This Video Is Useful for So Many Exam Boards

Simplifying square roots is a key part of algebra and number work in many school and college-level exams around the world. This topic is important whether you are studying in a classroom, preparing for a board exam, or learning independently. The approach shown in this video fits into many official curricula and exams such as:

• GCSE Mathematics: This is a standard part of the number section. You will find similar questions in AQA, Edexcel, OCR, and other UK exam boards.

• IGCSE and Cambridge International: These exams expect students to simplify square roots and work with radical expressions without using a calculator.

• International Baccalaureate (IB): Both the Applications and Interpretation and the Analysis and Approaches streams include this type of problem in their core skills.

• Edexcel International GCSE: The skills shown in this video match the types of simplification questions given in both Foundation and Higher papers.

• CBSE and ICSE Boards: Students in India often see these kinds of expressions in algebra or number system chapters. This video works as a clear support for Class 9 and Class 10 maths.

• State Boards and NIOS: Students studying under state-level syllabi or the National Institute of Open Schooling can also benefit from the step-by-step solution style.

• SAT and ACT Exams: These tests for university admission in many countries include questions on simplifying radicals and working with square roots in exact form.

• CUET and Entrance Exams: In competitive university entrance tests, simplifying square roots helps solve larger algebra problems quickly.

• WAEC, NECTA, and BECE: Learners in Africa taking regional and national exams will find this method very helpful.

• Math Olympiads: Students preparing for national or international math competitions often need to solve similar problems to arrive at exact answers.

---

Step-by-Step Breakdown from the Video

To help you follow along, here is a simplified version of the steps from the video:

1. Start with the original expression
   Square root of 63 minus square root of 175 plus square root of 28

2. Break each number into perfect square factors

   • 63 is 9 times 7

   • 175 is 25 times 7

   • 28 is 4 times 7

3. Take square roots of the perfect square parts

   • Square root of 63 becomes 3 times square root of 7

   • Square root of 175 becomes 5 times square root of 7

   • Square root of 28 becomes 2 times square root of 7

4. Now combine the simplified terms

   • 3 times square root of 7

   • minus 5 times square root of 7

   • plus 2 times square root of 7

5. Final calculation

   • 3 minus 5 plus 2 equals 0

   • So, the simplified result is 0

---

Learn Visually and Practice Along

You can pause the video at any time and work through the steps on your own. The visual format allows you to rewind and understand the explanation fully before moving to the next part. The language is simple and the method works the same way in all exam systems.

If you are learning from home or reviewing before an exam, this video is ideal for quick revision. It also supports blended learning environments where video content is used during lessons or assignments.

---

Who Should Watch This

This video will help:

• School students preparing for maths papers in national or international exams

• University applicants practicing for SAT, ACT, or other math-based entrance tests

• Tutors and teachers looking for clear explanations to use in lessons

• Parents helping their children with revision and daily homework

• Independent learners who want to strengthen their algebra