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A rational number between under root 2 and under root 3 is?
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A rational number between under root 2 and under root 3 is?
Exploring Rational Numbers between √2 and √3
To find a rational number between two given irrational numbers, we can use the concept of decimal representation. We know that rational numbers have terminating or repeating decimal expansions.
Decimal Representation of √2 and √3
- √2 is approximately 1.414
- √3 is approximately 1.732
Finding a Rational Number
To find a rational number between √2 and √3, we can look for a decimal number between 1.414 and 1.732, which can be expressed as a fraction.
Calculating the Rational Number
Let's take the average of √2 and √3:
(1.414 + 1.732) / 2 = 3.146 / 2 = 1.573
Therefore, 1.573 is a rational number between √2 and √3.
Verifying the Rationality
We can express 1.573 as a fraction:
1.573 = 1573/1000
This fraction can be simplified to 157/100, which is a rational number.
In conclusion, 157/100 is a rational number between √2 and √3.
To find a rational number between two given irrational numbers, we can use the concept of decimal representation. We know that rational numbers have terminating or repeating decimal expansions.
Decimal Representation of √2 and √3
- √2 is approximately 1.414
- √3 is approximately 1.732
Finding a Rational Number
To find a rational number between √2 and √3, we can look for a decimal number between 1.414 and 1.732, which can be expressed as a fraction.
Calculating the Rational Number
Let's take the average of √2 and √3:
(1.414 + 1.732) / 2 = 3.146 / 2 = 1.573
Therefore, 1.573 is a rational number between √2 and √3.
Verifying the Rationality
We can express 1.573 as a fraction:
1.573 = 1573/1000
This fraction can be simplified to 157/100, which is a rational number.
In conclusion, 157/100 is a rational number between √2 and √3.
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A rational number between under root 2 and under root 3 is?
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A rational number between under root 2 and under root 3 is?
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A rational number between under root 2 and under root 3 is? 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 A rational number between under root 2 and under root 3 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rational number between under root 2 and under root 3 is?.
A rational number between under root 2 and under root 3 is? 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 A rational number between under root 2 and under root 3 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rational number between under root 2 and under root 3 is?.
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