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6. Squares and Square Roots
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Q8 of 31 Page 96

Express 121 as the sum of 11 odd numbers

121 = 112

Hence, 121 is the sum of first 11odd natural numbers


121 = 1 +3 +5 +7 +9 +11 +13 +15 +17 +19 +21


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7

Without adding, find the sum

(i) 1 + 3 + 5 + 7 + 9

(ii) 1 + 3 + 5 + 7 + 9 + I1 + 13 + 15 + 17 +19

(iii) 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

8

Express 49 as the sum of 7 odd numbers.

9

How many numbers lie between squares of the following numbers?

(i) 12 and 13


(ii) 25 and 26


(iii) 99 and 100

1

Find the square of the following numbers

(i) 32 (ii) 35


(iii) 86 (iv) 93


(v) 71 (vi) 46

Questions · 31
6. Squares and Square Roots
1 2 3 4 5 6 7 8 8 9 1 2 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9
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