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4 years ago

By which least number should 12500 10be multiplied to make them perfect squares

Mathematics

1 answer:

Katarina [22]4 years ago

6 0

Answer:

The least number 12500 need to be multiplied by to make it a perfect square is 5.

Corrected question;

By which least number should 12500 be multiplied to make them perfect squares

Step-by-step explanation:

Perfect squares are squares of whole numbers.

Like 4,9,16 etc.

For 12500, we need to first of all reduce it to its Lowest factors.

12500 = 2×2×5×5×5×5×5

Grouping the factors into pairs of thesame factors.

12500 = (2×2) × (5×5) × (5×5) × 5

Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.

So, when the number is multiplied by 5;

12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×2) × (5×5) × (5×5) × (5×5)

62500 = (2×5×5×5)^2 = 250^2

Hence, 62500 is a perfect square.

The least number 12500 need to be multiplied by to make it a perfect square is 5.

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