Q. 134.0( 6 Votes )
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.
Answer :
(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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