You are here
Ex 5.2, 2 (ii) - Chapter 5 Class 8 Squares and Square Roots
Last updated at August 10, 2026 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
- Statement Questions
Transcript
Ex 5.2, 2 Write a Pythagorean triplet whose one member is. (ii) 14We know 2m, ๐^2โ1 and ๐^2+1 form a Pythagorean triplet. Given, One member of the triplet = 14. Let 2m = 14 2m = 14 m = 14/2 m = 7 Let ๐^๐โ๐" = 14" ๐^2 = 14 + 1 ๐^2 = 15 Since, 15 is not a square number, โด ๐^2โ1 โ 14 It is not possible. Let ๐^๐+๐ = 14 ๐^2 = 14 โ 1 ๐^2 = 13 Since, 13 is not a square number, โด ๐^2+1 โ 14 It is not possible. Therefore, m = 7 Finding Triplets for m = 7 1st number = 2m 2nd number = ๐^2โ1 3rd number = ๐^2+1 โด The required triplet is 14, 48, 50
