Question

6. Statement A: log 2 is an irrational number.
Statement B: The product of 2 irrational numbers is always irrational number
A) statement A is true, statement B is true B) statement A is false, statement B is true
C)statement A is true, statement B is false
D)statement A is false, statement B is false ​

Answer 1

the answer should be C)statement A is true, statement B is false

How:

Statement A-

let log2=x

⇒ log₁₀2=x

2 cannot be expressed as 10ˣ for any value of x. Hence, it is irrational.

Statement B -

product of two irrational numbers can be rational or irrational depending on the two numbers. For example, √3×√3 is 3 which is a rational number whereas √2×√4​ is √8​ which is an irrational number.

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Answer 2

Answer:

c.) Statement A is true, statement B is false.

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