Advertisements
Advertisements
प्रश्न
Find the squares of the following number using the identity (a + b)2 = a2 + 2ab + b2
1001
उत्तर
On decomposing:
1001 = 1000 + 1
Here, a = 1000 and b = 1
Using the identity (a + b)2 = a2 + 2ab + b2:
10012 = (1000 + 1)2 = 10002 + 2(1000)(1) + 12 = 1000000 + 2000 + 1 = 1002001
APPEARS IN
संबंधित प्रश्न
Find the least number that must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
402
Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.
6412
A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.
Find the square root the following by long division method:
6407522209
Find the least number which must be subtracted from the following numbers to make them a perfect square:
194491
Seeing the value of the digit at unit’s place, state which of the following can be square of a number :
(i) 3051
(ii) 2332
(iii) 5684
(iv) 6908
(v) 50699
A greeting card has an area 90 cm2. Between what two whole numbers is the length of its side?
Find the square root of the following by long division method.
1369
Find the square root of the following by long division method.
27.04
Find the greatest number of three digits that is a perfect square.