Pt's Classes by Rahul Kumar

23/08/2026

19/08/2026

15/08/2026

Celebrating Freedom Through Knowledge & Empowerment 🇮🇳

Happy 80th Independence Day from all of us at Pt's Classes (Math Hub 7 to 10)!

As our nation steps into another proud year of independence, we reaffirm our commitment to guiding young minds toward clarity, confidence, and academic success. Education is the strongest tool to build a self-reliant and innovative future generation.

✨ Our Mission:

Transforming complex mathematical concepts into simple, structured steps.

Special focus on Class 7, 8, 9 & 10 students (CBSE & ICSE boards).

Building critical thinking and analytical skills for long-term excellence.

Wish you all a inspiring and happy Independence Day! 🎉

📲 Admissions Open for New Batches!

📞 Call/WhatsApp: [8709179091]

🌐 Website / Social Handles:

04/08/2026

Tally With GST Syllabus

Contact for Admission

03/08/2026

Class 9 Number System: Exercise 1D Practice Questions | Lecture 8

Description
In this video, we explore how to simplify fractional expressions containing square roots to identify whether the result is a rational or irrational number.

We focus on key prime factorization techniques for terms under radical signs, demonstrating how to cancel common factors in both the numerator and denominator efficiently for Class 9 examinations.

👉 Check out the complete Number System playlist on our channel for more Class 9 lessons!

Follow us for daily math explanations and concept guides:

🏷️ Tags (Copy & Paste)
Plaintext
Class 9 Math, Number System Class 9, Exercise 1D, Simplifying Radicals, Square Root Simplification, Class 9 Maths Chapter 1, Rational and Irrational Numbers, Surds and Radicals, Class 9 Exam Prep, Class 9 Exercise 1D Lecture 8, Math Hub 7 to 10, Pt's Classes
#️⃣ Hashtags
Plaintext

02/08/2026

Rational vs Irrational Numbers Trick | Class 9 Number System Ex 1D

Description
In this quick video, we look at how to test whether a given expression results in a Rational Number or an Irrational Number.

We go through two standard exam-style questions from Class 9 Exercise 1D, applying fundamental algebraic identities to simplify each problem and determine the final type of number.

👉 Check out the full Number System playlist on our channel for complete chapter tutorials!

Follow for more daily math tips and solutions:

🏷️ Tags (Copy & Paste)
Plaintext
Class 9 Math, Number System Class 9, Exercise 1D, Rational Numbers, Irrational Numbers, Class 9 Maths Chapter 1, Identify Rational and Irrational Numbers, Algebraic Identities, Class 9 Exam Prep, Maths Solutions, Class 9 Exercise 1D Lecture 8, Math Hub 7 to 10, Pt's Classes
#️⃣ Hashtags
Plaintext

01/08/2026

Chapter 3 - Factorisation

Check out: https://www.youtube.com/

01/08/2026

Step-by-Step Binomial Radical Expansion! | Math Hub 7 to 10

Mastering Binomial Multiplication with Radicals!
In this segment of Lecture 8 (Exercise 1D), we demonstrate how to multiply two binomial expressions containing square roots: (Root 5 - Root 2)(Root 2 - Root 3) using the distributive property.

Step-by-Step Expansion Breakdown:

Distribute Terms:

Root 5 x (Root 2 - Root 3)

-Root 2 x (Root 2 - Root 3)

Multiply Individual Roots:

Root 5 x Root 2 = Root 10

Root 5 x (-Root 3) = -Root 15

-Root 2 x Root 2 = -Root 4 = -2

-Root 2 x (-Root 3) = +Root 6

Final Result: Root 10 - Root 15 - 2 + Root 6

Using the FOIL/distributive method step-by-step ensures you keep your positive and negative signs organized!

📺 Want to master the entire chapter step-by-step? Check out the complete Number System playlist link pinned below to follow along from start to finish!

Connect & Follow Pt's Classes / Math Hub 7 to 10:

YouTube: youtube.com/

Instagram:

Facebook: facebook.com/ptsclasses

LinkedIn: linkedin.com/in/ptsclasses

🏷️ Tags (Comma-Separated for Easy Pasting):
Real Numbers Class 9, Number System Lecture 8, Exercise 1D Solutions, Multiplying binomial radicals, Distributive property square roots, Class 9 Maths Chapter 1, Pt's Classes by Rahul Sir, Math Hub 7 to 10, CBSE Class 9 Maths, ICSE Number System Solutions, How to simplify radicals, Class 9 board exam prep

31/07/2026

Radical Multiplication Shortcuts Revealed! | Math Hub 7 to 10

Multiplying Radicals and Square Roots Made Easy!
Multiplying terms with square roots and coefficients can look confusing, but breaking it down into simple steps makes it super easy! In this segment of Lecture 8 (Exercise 1D), Rahul Sir demonstrates how to multiply radical expressions clearly and quickly.

Key Multiplication Tricks:

Separate Whole Numbers and Roots: Multiply the outside numbers first, then multiply the square root terms together.

Same Roots Simplify: Remember that Root 5 times Root 5 simply equals 5, and Root 3 times Root 3 simply equals 3!

Break Down Bigger Roots: For terms like Root 6, break it down into Root 2 times Root 3 to easily pair up like roots with other terms.

Mastering these basic multiplication properties will help you speed through Class 9 Number System questions without making simple calculation errors!

📺 Want to master the entire chapter step-by-step? Check out the complete Number System playlist link pinned below to follow along from start to finish!

Connect & Follow Pt's Classes / Math Hub 7 to 10:

YouTube: youtube.com/

Instagram:

Facebook: facebook.com/ptsclasses

LinkedIn: linkedin.com/in/ptsclasses

🏷️ Tags (Comma-Separated for Easy Pasting):
Real Numbers Class 9, Number System Lecture 8, Exercise 1D Solutions, Multiplying square roots, Radical multiplication rules, Class 9 Maths Chapter 1, Pt's Classes by Rahul Sir, Math Hub 7 to 10, CBSE Class 9 Maths, ICSE Number System Solutions, How to multiply radicals, Class 9 board exam prep

31/07/2026

Lecture 8 (Part 13): Algebraic Identities for Radicals | Exercise 1D

Applying Identity Rules to Negative Radical Expressions!
In this clip from Lecture 8 (Exercise 1D), we look at how to simplify algebraic expressions with negative terms using the classic identity: (a + b)(a - b) = a^2 - b^2.

Step-by-Step Breakdown:

Identify the Terms: Set a = -3 and b = Root 5.

Apply the Identity: Express the problem as (-3)^2 - (Root 5)^2.

Handle the Negative Base: Squaring -3 gives +9 (since -3 x -3 = +9).

Simplify the Radical: Squaring Root 5 removes the square root to give 5.

Final Calculation: Subtract 9 - 5 to get the final answer: 4!

Remember, squaring any negative real number always results in a positive value—keeping this in mind prevents costly sign errors on your exams!

📺 Want to master the full chapter sequentially? Check out the complete Number System playlist link pinned below to follow along from start to finish!

Connect & Follow Pt's Classes / Math Hub 7 to 10:

YouTube: youtube.com/

Instagram:

Facebook: facebook.com/ptsclasses

LinkedIn: linkedin.com/in/ptsclasses

🏷️ Tags (Comma-Separated for Easy Pasting):
Real Numbers Class 9, Number System Lecture 8, Exercise 1D Solutions, Algebraic identities with radicals, Simplifying radical expressions, Class 9 Maths Chapter 1, Pt's Classes by Rahul Sir, Math Hub 7 to 10, CBSE Class 9 Maths, ICSE Number System Solutions, a square minus b square identity, Class 9 board exam prep