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Last updated at Sept. 11, 2018 by Teachoo

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Ex 6.4, 8 (Introduction) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this. Let Total number of rows = 3 And Total number of columns = 3 Total Plants = Number of plants in 1st row + Number of plants in 2nd row + Number of plants in 3rd row = 3 + 3 + 3 = 3 × 3 = 9 So we can say that Total Plants = Number of rows × Number of columns Ex 6.4, 8 A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.Given Total Plants = 1000 And number of rows is equal to the number of columns Let Number of rows = 𝑥 ∴ Number of columns = 𝑥 Now, Total Plants = Number of Rows × Number of columns 1000 = 𝑥 × 𝑥 1000 = 𝑥^2 𝑥^2 = 1000 𝑥 = √1000 Finding Square root of 1000 using Long Division Here, Remainder = 39 Given that, He wants to plant these in such a way that the number of rows and the number of columns remain same, we need to find the minimum number of plants he needs more for this. We need to find the least number that must be added to 1000 so as to get a perfect square Now, Thus, we add 322 – 1000 to the number ∴ Number to added = 322 − 1000 = 1024 – 1000 = 24 ∴ The Gardner needs 24 more plants.

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.