How many non square numbers lie between the following pairs of numbers 100 square and 101 square 90 square and 91 square 1000 square and 1001square
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1. this could be soved by using 2n property:
n=small consicutive number i.e.,100
100*2=200
therefore 200 squares lie between 100 and 101
2. 90^2 = 8100
91^2 = 8281
8281 - 8100 + 1 = 180
hence 180 squares lie between 90 square and 91 square
3. this could be done by the following identity:
a^2 - b^2 whuch is,
(a + b) (a - b)
lets substitute the value
(1000 + 1001) (1000 - 1001)
(2001) * (1)
2001
as the 2001 could include one of the two numbers either 1000 or 1001
so the answer is 2001 - 1 = 2000
therefore 2000 squares lie between 1000 and 1001 square
HOPE IT HELPS
n=small consicutive number i.e.,100
100*2=200
therefore 200 squares lie between 100 and 101
2. 90^2 = 8100
91^2 = 8281
8281 - 8100 + 1 = 180
hence 180 squares lie between 90 square and 91 square
3. this could be done by the following identity:
a^2 - b^2 whuch is,
(a + b) (a - b)
lets substitute the value
(1000 + 1001) (1000 - 1001)
(2001) * (1)
2001
as the 2001 could include one of the two numbers either 1000 or 1001
so the answer is 2001 - 1 = 2000
therefore 2000 squares lie between 1000 and 1001 square
HOPE IT HELPS
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