Question
Which of the following is not an irrational number?
Answer: Option D
:
D
If p is a prime number, then √p is an irrational number.
3 is a prime number.
⇒ √3 is an irrational number.
⇒ 5−√3 is an irrational number.
Similarly,5+√3 is an irrational number.
2 is a prime number.
⇒ √2 is an irrational number.
⇒ 4+√2 is an irrational number.
9 is not a prime number.
√9=3
⇒ 5+√9=5+3=8 which is a rational number.
⇒ 5+√9 is not anirrational number.
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:
D
If p is a prime number, then √p is an irrational number.
3 is a prime number.
⇒ √3 is an irrational number.
⇒ 5−√3 is an irrational number.
Similarly,5+√3 is an irrational number.
2 is a prime number.
⇒ √2 is an irrational number.
⇒ 4+√2 is an irrational number.
9 is not a prime number.
√9=3
⇒ 5+√9=5+3=8 which is a rational number.
⇒ 5+√9 is not anirrational number.
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