Is 2n is an irrational number? Why?
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A proof that the square root of 2 is irrational. Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction.
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2 is not an irrational number.
Step-by-step explanation:
- A number is said to be rational if it can be expressed in terms of quotient of two integers.
- Rational number can be expressed as a/b, where both a and b are integers and b does not equal zero.
- The number 2 can be represented as also 2 and 1 are integers and the denominator is not zero.
- This agrees with the condition for a number to be rational number.
- Thus 2 is an rational number.
- Some examples of irrational number are 3.14, 5.4,0.234 etc
Learn more about Irrational number:
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