1.

is 292 a perfect square? if not then find the smallest number which must be multiplied so it becomes a perfect cube​

Answer»

ANSWER:

To Find :

To find whether 292 is a perfect CUBE or not, To find the smallest natural number by which it must be multipiled so that the product is a perfect cube.

292 = 2 x 2 x 73 , which doesn't have triplet of any prime factors,

HENCE, to make it perfect cube, we must make the the prime factors to FORM triplets,.

292 x 2 x 73 x73 = 2 x 2 x 2 x 73 x 73 x 73

=> Hence, it should be MULTIPLIED by 2 x 73 x 73 = 5329 x 2 = 10658.

hope this clears your doubt


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