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Example 15 - Chapter 5 Class 8 Squares and Square Roots
Last updated at Oct. 10, 2024 by Teachoo
Chapter 5 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
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Statement Questions
Transcript
Example 15 (Introduction) There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Find the number of rows. Columns Rows Let Total Number of rows = 2 & Total number of columns = 3 Total Students = Number of students in 1st row + Number of students in 2nd row = 3 + 3 = 3 × 2 = 6 So we can say that Total Students = Number of rows × Number of columns Example 15 There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Find the number of rows. Given Total Number of students = 2401 And number of rows is equal to the number of columns Let Number of rows = 𝒙 ∴ Number of columns = 𝒙 Now, Total Students = Number of Rows × Number of columns 2401 = 𝑥 × 𝑥 2401 = 𝑥^2 𝑥^2 = 2401 𝒙 = √𝟐𝟒𝟎𝟏 ∴ Number of rows = √2401 Finding square root of 2401 Thus, 2401 = 7 × 7 × 7 × 7 Therefore, Square root of 2401 = 7 × 7 √2401 = 49 ∴ Number of rows = 49.
