How many number are there from 2000 to 7000 which are both perfect seqares and perfect cubes?
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Heya user,
44² < 2000 and also, 12³ < 2000
Also, 7000 < 84² and also, 7000 < 20³
Now,
-------> 44² < 2000 < 7000 < 84²
Hence, there are [ 84 - 44 - 1 ] = 39 perfect squares between 2k and 7k
Also,
---------> 12³ < 2000 < 7000 < 20³
Hence, there are 7 perfect cubes between 2000 and 7000
44² < 2000 and also, 12³ < 2000
Also, 7000 < 84² and also, 7000 < 20³
Now,
-------> 44² < 2000 < 7000 < 84²
Hence, there are [ 84 - 44 - 1 ] = 39 perfect squares between 2k and 7k
Also,
---------> 12³ < 2000 < 7000 < 20³
Hence, there are 7 perfect cubes between 2000 and 7000
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Answer:
How many number are there from 2000 to 7000 which are both perfect seqares and perfect cubes?
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