8

^{th}Squares and Square Roots1. Find the square root of the following by means of factors i) 529 2. ii) 298116

2. Find the smallest number by which 252 must be multiplied to get a perfect square. Also, find the quare root of the perfect square so obtained.

4. Find the smallest number by which 2925 must be divided to get a perfect square. Also, find the square root of the perfect square so obtained.

5. Find the least square number, exactly divisible by each one of the numbers 6, 9, 15 and 20.

6. Find the least square number exactly divisible by each one of the numbers 8, 12, 15, 20.

7. Find the square root of: (a) 9126441 (b) 63409369

9. Find the least number that must be subtracted from 7581 to obtain a perfect square. Find the perfect square and its square root.

10. Find the least number that must be added to 506900 to make it a perfect square. Find its perfect square and its square root.

11. Find the least number of 4 digits that is a perfect square.

12. The area of a square field is 60025 m 2. A man cycles around its boundary at 18 km per hour. In how much time will he return at the starting point?

13. The sides of a rectangular field are 80 m and 18 m respectively. Find the length of its diagonal.

14. Find the square root of (a) 14. 10.0469 (b) 15. 0.00038809

15. Find the value of the following up to three places of decimal: root 0.019

16. A decimal fraction is multiplied by itself to give the product 0.007569. Find the decimal fraction.

17. The area of a square playground is 291.0436 square meters. Find the length of each side of the playground.

In class 8, square and square roots are taught as basic need for maths learning and your ideas for grade 8 are interesting and useful for students.

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