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
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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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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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