Question

2800 - By which smallest number this number should be divided, so that the result becomes a perfect square? Find the square root of the result obtained.

Answer 1

Hey Mate !!

the prime Factorization of 2800 is,

2800 = 2 × 2× 2 × 2 × 5 × 5 × 7

Here, all numbers are paired rather than 7. The number 7 is unpaired. Hence, we should divide 2800 with 7.

2800/7 = 400

The required number is 400.

The prime Factorization of 400 is,

400 = 2 × 2 × 2 × 2 × 5 × 5

Square root of 400 is 20


HOPE THIS HELPS U...

Answer 2

Solution :

Resolving 2800 into prime

factors , we get

2800 = 2×2×2×2×5×5×7

= (2×2)×(2×2)×(5×5)×7

We can see that , 2 , 2 and 5

exists in pairs while 7 do not

exist in pair .

So, we must divide the given

number by 7

Therefore perfect square

obtained = 2800/7 = 400

Now ,

400 = 2×2×2×2×5×5

The square root of 400 is

= √400

= √(2×2)×(2×2)×(5×5)

= 2 × 2 × 5

= 20

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