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What is the smallest 5-digit number that can be expressed as the sum of two squares?
- a)10004
- b)10001
- c)10005
- d)10007
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the smallest 5-digit number that can be expressed as the sum o...
Explanation:
Smallest 5-digit number expressed as the sum of two squares:
The sum of two squares can be expressed as a^2 + b^2. To find the smallest 5-digit number that can be expressed in this form, we need to consider the range of values for a and b.
Range of values:
- The smallest perfect square greater than 10000 is 100^2 = 10000.
- Therefore, a can be 100 or greater.
- The smallest perfect square is 0^2 = 0.
- Therefore, b can be 0 or greater.
Finding the number:
- If we choose a = 100 and b = 2, the sum would be 100^2 + 2^2 = 10000 + 4 = 10004.
- This is the smallest 5-digit number that can be expressed as the sum of two squares.
Therefore, the correct answer is option B) 10004.
Smallest 5-digit number expressed as the sum of two squares:
The sum of two squares can be expressed as a^2 + b^2. To find the smallest 5-digit number that can be expressed in this form, we need to consider the range of values for a and b.
Range of values:
- The smallest perfect square greater than 10000 is 100^2 = 10000.
- Therefore, a can be 100 or greater.
- The smallest perfect square is 0^2 = 0.
- Therefore, b can be 0 or greater.
Finding the number:
- If we choose a = 100 and b = 2, the sum would be 100^2 + 2^2 = 10000 + 4 = 10004.
- This is the smallest 5-digit number that can be expressed as the sum of two squares.
Therefore, the correct answer is option B) 10004.
Community Answer
What is the smallest 5-digit number that can be expressed as the sum o...
10004 = 100² + 2².
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What is the smallest 5-digit number that can be expressed as the sum of two squares?a)10004b)10001c)10005d)10007Correct answer is option 'B'. Can you explain this answer?
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