Question

Which statement BEST explains why the number 52√ is irrational? A The product of a positive integer and an irrational number is irrational. B The result of squaring 52√ is not a rational number. C The number 5 is not divisible by 2. D The product of an odd number and the square root of an even number is irrational.

Answer 1

A. The product of a positive integer and an irrational number is irrational.

Explanation:

Which statement BEST explains why the number 5√2 is irrational.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers i.e. it cannot be expressed in the form of a/b where a, b are integers and b ≠ 0.

Irrational numbers are neither terminating nor recurring. Examples of these numbers are π, √2, √5

The number 5√2 contains 5 an integer and √2 an irrational number. The product of a positive integer and an irrational number is irrational.