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36 <42 <49
6^2 <42 <7^2
6
42 between 6-7
irrational number
36 <42 <49
6^2 <42 <7^2
6
42 between 6-7
irrational number
Irrational numbers are those real numbers which are not rational numbers. √42 is an irrational number and its value will lie between 5 and 7.
What is a rational number?
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
What is an irrational number?
Irrational numbers are those real numbers which are not rational numbers.
For example √2, π, √13, etc.
It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
Since 42 is not a perfect square root, therefore, √42 is an irrational number. Also, a number smaller than 42 which is a perfect root is 36 which is a square of 6, while the larger is 49, which is a square of 7.
Thus, the value of √42 will lie between 5 and 7.
Hence, √42 is an irrational number and its value will lie between 5 and 7.
Learn more about Rational and Irrational Numbers:
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