Question

$\sqrt{18}$

18 x 12 is not a rational number
as 18 and 12 are not integers​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Heyà !!

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1▶ √2/3 is a rational number.

[ ❌ False ]

REASON :- For a rational number p/q, q≠0 , p and q should be integers but in √2/3 , p(√2) is not an integer.

2▶ There are infinitely many integers between two integers.

[ ❌ False ]

REASON :- Taking an example of integers 1 and 2. There is no integer between 1 and 2.

3▶ Number of rational numbers between 15 and 18 is finite.

[ ❌ False ]

REASON :- Because between two rational numbers we can find infinity rational numbers.

4▶ There are numbers which cannot be written in the form of p/q, q≠0, p,q both are integers.

[ ✔ True ]

REASON :- Taking an example. √2 / √3 is in the form of p/q but here p and q are nit integers.

5▶ The square of irrational number is always rational.

[ ❌ False ]

REASON :- Taking an example. (³√3)² = (³√9) is an irrational number.

6▶ √12/√3 is not a rational number as √12 and √3 are not integers.

[ ❌ False ]

REASON :- Because √12 / √3 = √4 = 2 which is a rational number.

7▶ √15/√3 is written in the form p/q, q≠0 and so it is a rational number.

[ ❌ False ]

REASON :- Because √15 / √3 = √5 which is an irrational number.

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Hope my ans.'s satisfactory.☺