# Ex 6.3, 7 - Chapter 6 Class 8 Squares and Square Roots

Last updated at Sept. 11, 2018 by Teachoo

Last updated at Sept. 11, 2018 by Teachoo

Transcript

Ex 6.3, 7 (Introduction) The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.Let total number of students = 3 And amount donated by each students = Rs 3 Total donation = Amount donated by 1st student + Amount donated by 2nd student + Amount donated by 3rd student = 3 + 3 +3 = 3 × 3 = 9 So we can say that, Total Donation = Total no. of students × Amount donated by each student Ex 6.3, 7 The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class. Given Total Donation = Rs 2401 And each student donates as many rupees as number of students in the class. Let Number of students in class = 𝑥 ∴ Amount Donated by each student = 𝑥 Now, Total Donation = No. of students × Amount donated by each student 2401 = 𝑥 × 𝑥 2401 = 𝑥^2 𝑥^2 = 2401 ∴ 𝑥 = √2401 Therefore, Number of students = √2401 Finding square root of 2401 Thus, 2401 = 7 × 7 × 7 × 7 Therefore, Square root of 2401 = 7 × 7 √2401 = 49 ∴ The number of students in the class is 49.

Chapter 6 Class 8 Squares and Square Roots

Concept wise

- Square numbers
- Properties of square numbers
- Sum of consecutive odd numbers
- Numbers between square numbers
- Pattern Solving
- Finding square of large numbers
- Pythagorean triplets
- Square root
- Finding Square root through repeated subtraction
- Finding Square root through prime factorisation
- Checking if perfect square by prime factorisation
- Smallest number multiplied to get perfect square
- Smallest number divided to get perfect square
- Smallest square number divisible by numbers
- Finding number of digits in square root (without calculation)
- Finding square root by division method - Integers
- Least number subtracted to get a perfect square
- Least number added to get a perfect square
- Finding square root by division method - Decimals
- Statement Questions

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.