Advertisements
Advertisements
Question
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
Advertisements
Solution
Decomposing: 995 = 1000 − 5
Here, a = 1000 and b = 5
Using the identity (a − b)2 = a2 − 2ab + b2:
9952 = (1000 − 5)2 = 10002 − 2(1000)(5) + 52 = 1000000 − 10000 + 25 = 990025
APPEARS IN
RELATED QUESTIONS
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
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 number using the identity (a + b)2 = a2 + 2ab + b2:
510
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
495
Find the square of the following by long division method:
12544
Find the square root of each of the following by long division method:
4008004
Find the square root the following by long division method:
20421361
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.
Find the square root by long division method
6889
`sqrt(1.96)` = ______.
