Question

find the smallest number which 55296 must be divided to obtain a perfect square​

Answer 1

Answer:

★ ANSWER :

The smallest number which 55296 must be divided to obtain a perfect square is 6.

Step-by-step explanation:

★ QUESTION :

Find the smallest number which 55296 must be divided to obtain a perfect square.

★ CONCEPT USED :

A perfect square number is a number, from a given number system, that can be expressed as the square of a number from the same number system.

Example : 25 = 5 × 5 = 5²

★ SOLUTION :

55296 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

Here, we see that 6 (2 × 3) does not form pair.

So , we need to divide 55296 by 6 to obtain a perfect square.

★ ANSWER :

The smallest number which 55296 must be divided to obtain a perfect square is 6.

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