Question

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

Answer 1

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

Answer 2

Step-by-step explanation:

no 292 is not a perfect square

292 = 2 into 2 into 73

to make 292 into a perfect cube remind make the prime numbers into a triplet

so to make the prime numbers into triplet we need to multiply 292 with 2 and 73 into 73

292 becomes a perfect cube when it is multiplied with 2 into 73 in 273

292*2*73*73 is a perfect cube

hope it helps you