# Fill in the blanks:(i) 1+3 +5 +7+9 +11+13 =(…….)2(ii) = ……….(iii) The smallest square number exactly divisible by 2, 4, 6 is(iv) A given number is a perfect square having n digits, where n is odd. Then, its square root will have …………… digits.

(i) We have,

1 + 3 + 5 + 7 + 9 + 11 + 13

We know that,

Sum of first n odd numbers = n2

Therefore,

1 + 3 + 5 + 7 + 9 + 11 + 13 = (7)2

(ii) By using long division method, we have Therefore, = 41

(iii) We know that,

The smallest square number which is exactly divisible by 2, 4 and 6 is 36

Also,

L.C.M of 2, 4b and 6 is 12

Prime factorization of 12 = 2 × 2 × 3

Now, for making it a perfect square we have to multiply it by 3

Therefore,

12 × 3 = 36

(iv) We know that,

A given number is a perfect square having n digits, where n is odd. Then, its square root will have ( ) digits

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