Math, asked by unnatiwaghela6420, 7 months ago

Is 18342 a perfect cube or not

Answers

Answered by dipteshsuryawanshi29

Answer:

no it is not a perfect cube

Answered by Anonymous

First we have to prime factorise the number....

18,342 = 2 × 3 × 3 × 1,019

here we should get tripelets of the prime numbers

for ex -

216 = 2 × 2 × 2 × 3 × 3× 3 (216 = 6³)

If the given number is a perfect cube than there should be tripelets formed as above...

And in our example there were no tripelets formed...

So, the given number is not a perfect cube....

$\huge\red{Note\: -}$

The tripelets should be strictly formed.... Even if one number is missing in tripelets than the given number is NOT a perfect cube....

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