Math, asked by anju8765, 1 year ago

find the least number by which 3200 should be divided to get a perfect square number. Find the number whose square is the resulting new number​

Answers

Answered by jaydonphilip03
5

Ans

Step-by-step explanation:

Clearly, the number 3200 should be divided by 2 to get a perfect square 1600. Hence, the root of 1600 is 40

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Answered by GulabLachman
2

The smallest number divided with 3200 for a perfect square is 2.

Given:

The number = 3200

To Find:

The smallest number divided with 3200 for a perfect square.

Solution:

Finding the LCM of 3200 -

3200 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5

The two common numbers are 2 and 5

Therefore -

3200/2 = 1600

3200/5 = 640

On dividing 3200 by two the result is 1600, which is a perfect square.

= (40)²

Thus, -

= 40 × 40

= 1600

Answer: The smallest number divided with 3200 for a perfect square is 2.

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