Class 10 Exam > Class 10 Questions > Write the greatest integer smaller than 2√5 a...
Start Learning for Free
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?
Most Upvoted Answer
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.
Community Answer
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.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
Question Description
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 2025 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 2025 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 2025 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 2025 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup