Advertisements
Advertisements
प्रश्न
Find the square of the following number using the identity (a − b)2 = a2 − 2ab + b2:
995
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the number of digits in the square root of the following numbers (without any calculation).
64
Find the number of digits in the square root of the following numbers (without any calculation).
144
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.
525
Find the square root the following by long division method:
97344
Find the square root the following by long division method:
974169
Find the square root the following by long division method:
120409
Find the square root the following by long division method:
1745041
Find the square root of 7 correct to two decimal places; then use it to find the value of `sqrt((4+sqrt(7))/(4-sqrt(7)` correct to three significant digits.
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 least number which must be added to 5483 so that the resulting number is a perfect square.
