# Rani Lakshmi Bai, Bravery Woman

Topics: Real number, Exponentiation, Nth root Pages: 2 (390 words) Published: October 5, 2012
Class VIII

1.Find the smallest number by which 9408 must be divided so that it becomes a perfect square. Also, find the square root of the perfect square so obtained. Ans: 56 2.5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. How many rows are there in the auditorium? Ans: 77 3.Find the square root of

( i ) ( ii ) 4 ( iii ) 23 ( iv ) 5.774409 ( v ) 0.00053361 Ans: 25/36; 15/7; 53/11; 2.403; 0.0231
4.The area of a square field is 101 square meters. Find the length of one side of the field. Ans: 201/20 5.Find the square root by method of long division.
6.( i ) 2304 ( ii ) 84100 ( iii ) 54756 ( iv ) 390625 ( v ) 1234321 ( vi ) 3226694416
Ans: 48, 290; 234; 625; 1111; 56804
7.Find the least number which must be subtracted from 2361 to make it a perfect square. Ans: 57 8.Find the least number which must be added to 4931 to make it a perfect square.Ans: 110 9.Find the least number of four digits which is a perfect square. Ans:1024 10.Find the greatest number of six digits which is a perfect square. Ans: 998001

11.Find the square root of 1.7 correct to three places of decimal. Ans: ans: 1.304
12.Find the square root of 10 correct to 3 decimal places. Ans: 3.162 13.Multiply 1372592 by the smallest number so that the product is a perfect cube. Also, find the case root of the product. Ans: 546 14.Divide the number 26244 by the smallest number so that the quotient is a perfect cube. Also, find the cube root of the quotient. Ans: 36 ; 9 15.Find the cube root of :

( i ) - 125 ( ii ) - 5832 ( iii ) – 17576ans: -5; -18 ; -26 16.The volume of a cube is 512 cubic meters. Find the length of the side of the cube. 17.Simplify : 2 x ( 9)3/2 x (9)-1/2ans: 18

18.Simplify: ( 27)-1/3 x ( 271/3 - 272/3)ans: -2
19.Evaluate: (367/2 – 369/2) / 365/2ans: -1260
20....