This preview shows page 4 - 7 out of 14 pages. 2.Find the smallest number that can be used to divide 383328 to give a perfect square3.Is 2352 a perfect square? If not, find the smallest multiple of 2352 which is a perfectsquare. Find the square root of a new number.4.Find a Pythagorean triplet in which one number is 12.5.What should come in place of bothxin the equationx√128=√162x6.Find the least perfect square ,which is divisible by each of 21, 36 and 66DronaVyas Ixpoe Pvt. Ltd.Tel:+91 - 80 - 8800 2244E-mail:[email protected] We have textbook solutions for you! The document you are viewing contains questions related to this textbook. Elementary Geometry for College Students Alexander/Koeberlein Expert Verified Integrated MATH VIII7.The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’sNational Relief Fund. Each student donated as many rupees as the number of students inthe class. Find the number of students in the class.8.Find the smallest number by which 1008 must be multiplied to get a perfect square. Also,find the square root of the perfect square so obtained.9.What is the square root of 111.5136?10.Which is the smallest number that can be used to divide 606375 to give a perfect square?11.What is the square root of 4.6656?12. In the school auditorium, the number of chairs in a row is the same as the number of rowsof chairs. There are 4748 students in the school. If we know that less than 27 seats wereempty, how many seats were empty after the students sat down?13. Find the smallest number that can be used to divide 546875 to give a perfect square14.There are two numbers such that sum of the numbers is 37 and their difference is 9. Find thedifference of their squares.15.If you are given two circles and told that the ratio of the radii of the circles is 7:16, then what willyou say if asked the ratio of the areas of the two circles?16.What least number must be added to 6072 to make it a perfect square?17. Find the smallest number by which 396 must be divided so as to get a perfect square.18.Show that 200 is not a perfect square.19. Find the square root of 78 and 116.20.There are two squares, and the ratio of their perimeters is 4:7. If the area of the first square is 400,then what is the area of the second one?21.Students from class 8 decided to collect money for earthquake relief. If each student collected asmany Rupees as there are students, and they collected a total of Rs. 36100, then how manystudents were there in class 8?22.What is the smallest number that 70560 must be multiplied with to get a perfect square?23.Evaluate√16384by using long-division method.24.Evaluate √3 correct up to 3 places of decimal.25.Find the square root of 729 and 129626.Compute[23]−4×[278]−227.Show that[xax−b]a−b.[xbx−c]b−c.[xcx−a]c−a= 128.Prove that11+xa−b+11+xb−a= 129.Simplify[256a1681b4]−3430.Prove that[m+n]−1(m−1+n−1)=(mn)−131.Evaluatea2n+1×a(2n+1)(2n−1)an(4n−1)×a(2)2n+332.Compute(−13)4÷(−13)8×(−13)5DronaVyas Ixpoe Pvt. Ltd.Tel:+91 - 80 - 8800 2244E-mail:[email protected] Upload your study docs or become a Course Hero member to access this document Upload your study docs or become a Course Hero member to access this document End of preview. Want to read all 14 pages? Upload your study docs or become a Course Hero member to access this document We have textbook solutions for you!The document you are viewing contains questions related to this textbook. The document you are viewing contains questions related to this textbook. Elementary Geometry for College Students Alexander/Koeberlein Expert Verified Is 2352 a perfect square number if not find the smallest multiple of 2352 which is a perfect square find the square root of the new number?So, we will multiply the number 2352 with 3 to make it a perfect square. Now, to verify that 3 is the smallest number which is multiplied to 2352 to make it a perfect square, we need to multiply 3 with the number and then find its square root. Hence, the number is a perfect square and the perfect square is 84.
Is 2352 is a perfect square if not give reason?Prime factorizing 2352 Prime factorizing 2352 Thus, 2352 = 2 × 2 × 2 × 2 × 3 × 7 × 7 Since 3 is not in pair, Thus, we cannot calculate square root of 2352 ∴ 2352 is not a perfect square We need to find the smallest multiple of 2352 which is a perfect square Thus, we need to find a number multiplied to 2352 to get a ...
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