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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