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 square root of the following number by division method.
4489
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.
252
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
395
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
999
Find the square root the following by long division method:
120409
Find the square root the following by long division method:
1471369
Find the least number which must be subtracted from the following numbers to make them a perfect square:
16160
Find the value of `sqrt5` correct to 2 decimal places; then use it to find the square root of `(3-sqrt(5))/(3+sqrt(5)` correct to 2 significant digits.
A General wishes to draw up his 7500 soldiers in the form of a square. After arranging, he found out that some of them are left out. How many soldiers were left out?
