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Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6?
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Write the greatest integer smaller than 2√5 and the smallest integer g...
2√5 = 2 x 2.236 = 4.472
So the greatest number smaller than 2√5 is 4 and the smallest number greater than 2√5 is 5.
If you are not talking about whole numbers then there are infinitely many numbers and the answer is not unique.
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Write the greatest integer smaller than 2√5 and the smallest integer g...
Finding the greatest integer smaller than 2√5 and the smallest integer greater than 2√5
To find the greatest integer smaller than 2√5 and the smallest integer greater than 2√5, we need to first understand what √5 is and how it relates to integers.
What is √5?
√5 is the square root of 5. It is an irrational number, which means it cannot be expressed as a fraction of two integers. Its decimal representation goes on forever without repeating.
How to find the greatest integer smaller than 2√5?
To find the greatest integer smaller than 2√5, we need to first calculate 2√5. We can use a calculator to do this or use the fact that √5 is approximately 2.236. Multiplying 2 and 2.236, we get 4.472. The greatest integer smaller than 4.472 is 4. Therefore, the greatest integer smaller than 2√5 is 4.
How to find the smallest integer greater than 2√5?
To find the smallest integer greater than 2√5, we need to add 1 to 2√5. Using the approximate value of √5 as 2.236, we can calculate 2√5 as 4.472. Adding 1 to this, we get 5.472. Therefore, the smallest integer greater than 2√5 is 6.
Conclusion
The greatest integer smaller than 2√5 is 4, and the smallest integer greater than 2√5 is 6.
To find the greatest integer smaller than 2√5 and the smallest integer greater than 2√5, we need to first understand what √5 is and how it relates to integers.
What is √5?
√5 is the square root of 5. It is an irrational number, which means it cannot be expressed as a fraction of two integers. Its decimal representation goes on forever without repeating.
How to find the greatest integer smaller than 2√5?
To find the greatest integer smaller than 2√5, we need to first calculate 2√5. We can use a calculator to do this or use the fact that √5 is approximately 2.236. Multiplying 2 and 2.236, we get 4.472. The greatest integer smaller than 4.472 is 4. Therefore, the greatest integer smaller than 2√5 is 4.
How to find the smallest integer greater than 2√5?
To find the smallest integer greater than 2√5, we need to add 1 to 2√5. Using the approximate value of √5 as 2.236, we can calculate 2√5 as 4.472. Adding 1 to this, we get 5.472. Therefore, the smallest integer greater than 2√5 is 6.
Conclusion
The greatest integer smaller than 2√5 is 4, and the smallest integer greater than 2√5 is 6.
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Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6?
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Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6?.
Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write the greatest integer smaller than 2√5 and the smallest integer greater than 2√5. i.2 and 3 ii. 3 and 4 iii.4 and 5 iv.5 and 6?.
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