Advertisements
Advertisements
Question
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
605
Advertisements
Solution
On decomposing:
605 = 600 + 5
Here, a = 600 and b = 5
Using the identity (a + b)2 = a2 + 2ab + b2:
6052 = (600 + 5)2 = 6002 + 2(600)(5) + 52 = 360000 + 6000 + 25 = 366025
APPEARS IN
RELATED QUESTIONS
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
These are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?
Find the squares of the following numbers using the identity (a + b)2 = a2 + 2ab + b2:
405
Find the squares of the following numbers using the identity (a − b)2 = a2 − 2ab + b2:
498
Find the square of the following number by visual method:
702
Find the least number which must be subtracted from the following numbers to make them a perfect square:
26535
Find the least number which must be subtracted from the following numbers to make them a perfect square:
16160
Find the square root of 7.832 correct to: 2 decimal places
Squares of which of the following numbers will have 1 (one) at their unit’s place :
(i) 57
(ii) 81
(iii) 139
(iv) 73
(v) 64
A greeting card has an area 90 cm2. Between what two whole numbers is the length of its side?
