See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method. Exercise 3.5 of RD Sharma Solutions for Chapter 3 Squares and Square Roots, this exercise primarily deals with the concepts related to the long division method, which provides the means for detecting the square root of a perfect square by the long division method. Practice Problems. Ex 6.4, 1 Find the square root of each of the following numbers by Division method. 7. This is a very simple method. (iv) 161605 Step 1- Obtain the given number. If the total number of soldiers be 8160, find the number of soldiers in each row, We know that the total number of soldiers = 8160, Number of soldiers arranged in rows to form a perfect square = 8160 – 60 = 8100. Physics. ∴ 100489 is the required least number 6 digit number which is a perfect square. Students can download the RD Sharma Solutions for the Exercise 3.5 of Class 8 Maths Chapter 3, Squares and Square Roots from the link accessible here. Find the greatest number of 5 digits which is a perfect square. Let us learn here how to find the square root of numbers which … We know that the least 6 digit number is 100000, We take, the next perfect square number i.e., (317)2. The RD Sharma Solutions can help the students practice diligently while learning the fundamentals as it provides all the answers to the questions from the RD Sharma textbook. In how much time will he return at the starting point? Find the smallest number which must be added to 2300 so that it becomes a perfect square. 36 – 1 = 35 35 – 3 = 32 32 – 5 = 27 27 – 7 = 20 20 – 9 = 11 11 – 11 = 0 So the square root of 36 is equal to the number of steps that are 6. So, the greatest 3 digit perfect square number is: ∴ 961 is the required greatest 3 digit perfect square number. (iii) 286225 (iv) 390625 For the three-digit and four-digit numbers we only have the one slash, indicating we have a two digit answer because the single slash breaks the number into two groups and the number of groups tells us the number of digits in the square root. When the numbers are large, even the method of finding square root by prime factorisation becomes lengthy and difficult. So, the greatest 5 digit perfect square number is: ∴ 99856 is the required greatest 5 digit perfect square number. ... Find the square root the following by long division method: 6407522209. 9) 106276. (v) 506900, We take, the next perfect square number i.e., (75)2, So, the number to be added = 5625 – 5607 = 18, We take, the next perfect square number i.e., (71)2, So, the number to be added = 5041 – 4931 = 110, We take, the next perfect square number i.e., (2125)2, So, the number to be added = 4515625 – 4515600 = 25, We take, the next perfect square number i.e., (194)2, So, the number to be added = 37636 – 37460 = 176, We take, the next perfect square number i.e., (712)2, So, the number to be added = 506944 – 506900 = 44. We know that the cost of levelling and turning a square lawn = 2.50 per m2, Total cost of levelling and turning = Rs. (iii) 26535 8. To find the square root of five or six digit numbers we will expand on the method we have already seen to find the square root of three or four digit numbers. The square root of two hundred and seventy-four thousand, five hundred and seventy-six √274576 = 524 By practising regularly, the students can obtain high scores in the Class 8 exams by using the RD Sharma Solutions. (xi) 1745041 (xii) 4008004  \sqrt {53824 } … Am I on the right track? First I will demonstrate how to find the square root of a perfect square. So, practice with these square root problems and increase your performance for upcoming exams. 4. I don’t know what you mean by division, so I will show you another way. 10) 278784. Find the least number of 4 digits which is a perfect square. To overcome this problem we use Long Division Method. Find the greatest number of three digits which is a perfect square. Long Division Method. 5) 145161. The cost of levelling and turning a square lawn at Rs 2.50 per m2 is Rs13322.50 Find the cost of fencing it at Rs 5 per metre. 1.Find the square root of each of the following by long division method: Find the greatest 3 digit and 4 digit perfect square. First, assuming 996,004 is a perfect square, we note a few things. Ask a Question . ∴ 57 has to be subtracted from 2361 to get a perfect square. 4) 474721. The general approach is to collect all {x^2} terms on one side of the equation while keeping the constants to the opposite side. Hence, we then use long division method. NCERT P Bahadur IIT-JEE Previous Year Narendra Awasthi MS Chauhan. (iii) … 10. (iii) 4515600 (v) 4401624. We know that the least 4 digit number is 1000, We take, the next perfect square number i.e., (32)2. Actually we follow the same method as before and it is only when we do the remainder check we will have some additional work. 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Solutions for Class 8 Maths Chapter 18 Practical Geometry (Constructions), RD Sharma Solutions for Class 8 Maths Chapter 19 Visualising Shapes, RD Sharma Solutions for Class 8 Maths Chapter 20 Mensuration – I (Area of a Trapezium and a Polygon), RD Sharma Solutions for Class 8 Maths Chapter 21 Mensuration – II (Volumes and Surface Areas of a Cuboid and a Cube), RD Sharma Solutions for Class 8 Maths Chapter 22 Mensuration – III (Surface Area and Volume of a Right Circular Cylinder), RD Sharma Solutions for Class 8 Maths Chapter 23 Data Handling – I (Classification and Tabulation of Data), RD Sharma Solutions for Class 8 Maths Chapter 24 Data Handling – II (Graphical Representation of Data as Histograms), RD Sharma Solutions for Class 8 Maths Chapter 25 Data Handling – III (Pictorial Representation of Data as Pie Charts), RD Sharma Solutions for Class 8 Maths Chapter 26 Data Handling – IV (Probability), RD Sharma Solutions for Class 8 Maths Chapter 27 Introduction to Graphs, Exercise 3.1 Chapter 3 Squares and Square Roots, Exercise 3.2 Chapter 3 Squares and Square Roots, Exercise 3.3 Chapter 3 Squares and Square Roots, Exercise 3.4 Chapter 3 Squares and Square Roots, Exercise 3.6 Chapter 3 Squares and Square Roots, Exercise 3.7 Chapter 3 Squares and Square Roots, Exercise 3.8 Chapter 3 Squares and Square Roots, Exercise 3.9 Chapter 3 Squares and Square Roots, Download the pdf of RD Sharma Solutions For Class 8 Maths Chapter 3 Squares and Square Roots Exercise 3.5, chapter 6 algebraic expressions and identities, chapter 8 division of algebraic expressions, chapter 9 linear equation in one variable, chapter 13 profit loss discount and value added tax, chapter 16 understanding shapes quadrilaterals, chapter 17 understanding shapes special types quadrilaterals, chapter 21 volumes surface area cuboid cube, chapter 22 surface area and volume of right circular cylinder, chapter 23 classification and tabulation of data, chapter 24 graphical representation of data as histograms, chapter 25 pictorial representation of data as pie charts or circle graphs.