. Express 49 as the sum of seven odd numbers.
10. Find the greatest four digits number which is a perfect square.
11. Find the cube root of each of the following numbers by prime factorization method.
(i) 64
(ii) 512
(iii) 10648
(iv) 27000
(v) 15625
(vi) 13824
12. State true or false.
(i) Cube of any odd number is even.
(ii) A perfect cube does not end with two zeros.
(iii) If square of a number ends with 5, then its cube ends with 25.
(iv) There is no perfect cube which ends with 8.
13. You are told that 1,331 is a perfect cube. Find its cube root by estimation method.
Similarly, find the cube roots of 4913, 12167, 32768.
14. Find the square root of 39.0625 by long division method.
15. Find the least number that must be subtracted from 45156 to make it a perfect square.
16. Find the square root of 2 correct up to 3 decimal places.
17. Express the perfect square number as the sum of odd number
i) 49
ii) 64
18. Solve the following:
(i) √125 × 2613
(ii) √27 × 5123
19. By which smallest number should 648 be multiplied so that product is a perfect cube
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Ans 9. 49 = 1+3+5+7+9+11+13
Ans 10. 9801
Ans 11 i) 8
ii) 22.63
iii) 103.19
iv) 164.32
v) 125
vi) 117.58
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