Question

1620 - 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 1620 is,

1620 = 2 × 2 × 5 × 3 × 3 × 3 × 3

Here, 2 and 3 are paired mean while the number 5 is not paired. Hence, we should divide 1620 with 5

1620/5 = 324

The required number is 324.

The prime Factorization of 324 is,

324 = 2 × 2× 3 × 3 × 3 × 3

The Square root of 324 is

324 = 2 × 3 × 3

= 18

HOPE THIS HELPS U...

Answer 2

Solution :

Resolving 1620 into Prime

Factors , we get

1620 = 2×2×3×3×3×3×5

= (2×2)×(3×3)×(3×3)×5

We can see that , 2 , 3 and 3

exists in pairs while 5 is alone.

So, we must divide the given

number by 5 .

Therefore ,

Perfect square obtained=1620/5

= 324

324 = 2×2×3×3×3×3

The square root of 324 is

√324 = √(2×2)×(3×3)×(3×3)

= 2 × 3 × 3

= 18

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