Find the square root of the following using division method . i) 12544 ii) 97344 iii) 286225 iv) 36360 2) Find the least number which must be subtracted from the following numbers to make it a perfect square i) 2361 ii) 26535 iii)16160 iv) 4401624 3. Find the least number which must be added to the following numbers to make them a perfect square. i) 37460 ii) 506900 iii) 4931 iv) 5607 4. Find the greatest number of 5 digit which is a perfect square. 5. Find the least number of 4- digits which is a perfect square. 6. Find the square root using prime factorization number. i) 8281 ii) 1764 iii)11664 iv)27225 7. Find the smallest number by which 1152 must be divided so as to make it a perfect square .Also find the root of the new number so obtained. 8. Find the smallest number by which 147 must be multiplied so as to make it a perfect square .Also find the root of the new number so obtained. 9. Reema types 540 words during half an hour. How many words would she type in 6 minutes? 10. If 56 men can do a piece of work in 42 days. How many men will do it in 14 days? 11. If a and b varies inversely , fill the missing numbers a 8 2 5 1 b 10 20 80 12. Check which of the following varies directly and which varies inversely. a) x 8 16 32 256 y 32 16 8 1 b) x 7 9 13 21 25 y 21 27 39 63 75 13. Find the least number which must be added to 306452 to make it a perfect .square. 14. Find the greatest six digit number which is a perfect square 15. Without doing calculation , find the numbers which are surely not a perfect square. i)233 ii)777 iii)999 iv)566 16. Find the square of 256 and 625 using continuous subtraction. 17. Find the square roots using prime factorization method i)5929 ii)9604 iii) 4096