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3. Squares and Square Roots
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Q12 of 114 Page 3

Find the smallest number which must be added to 2300 so that it becomes a perfect square.

At first we have to find,

The square root of 2300


So, the square root of 2300 is:



The remainder is 91


Hence,


(47)2 < 2300


Now, the next perfect square number is (48)2 = 2304 > 2300


Hence,


The smallest number that must be added to 2300 to get a perfect square is:


2304 – 2300


= 4


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10

The cost of leveling and turning a square lawn at Rs 2.50 per m2 is Rs13322.50 Find the cost of fencing it at Rs 5 per metre.

11

Find the greatest number of three digits which is a perfect square.

1

Find the square root of:

(i) (ii)


(iii) (iv)


(v) (vi)


(vii) (viii)


(ix) (x)


(xi) (xii)


(xiii) (xiv)


(xv)

2

Find the value of:

(i)


(ii)


(iii)


(iv)


(v)

Questions · 114
3. Squares and Square Roots
1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
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