the square root of which number is rational
Answers
Answer:
Because we know that the square roots of all positive integers includes both rational and irrational numbers. Statement (B): Let us take a few examples whose square root of positive integers are rational numbers. ⇒√4=2 , here 2 is a rational number. ⇒√9=3, here 3 is a rational number.
Step-by-step explanation:
Rational numbers: A number that can be written as a ratio of two integers. (I.e. simple fraction).
Irrational number: A number that cannot be written as a ratio of two integers.
Statement (A): No, the square roots of all positive integers are not irrational. Because we know that the square roots of all positive integers includes both rational and irrational numbers.
Statement (B): Let us take a few examples whose square root of positive integers are rational numbers.
For example
⇒4–√=2⇒4=2 , here 22 is a rational number.
⇒9–√=3⇒9=3, here 33 is a rational number.
Here are the examples whose square root values are rational numbers.
Therefore by using statement (A) and statement (B) we can say that the square root of all positive integers includes both rational and irrational numbers.