Question

Which statement is true about left parenthesis square root of 3 space space space plus space 5 right parenthesis space5?

Answer choices:

A.It is rational number because the product of two rational numbers is a rational.

B.It is irrational number because the product of a rational and an irrational number is rational.

C.It is irrational because the product of two irrational numbers is an irrational.

D.It is irrational because the product of an irrational and a rational number is an irrational

Answer 1

Answer: D.

It is irrational because the product of an irrational and a rational number is an irrational

Explanation:

The square root of 3 is an irrational number.

The correct answer of the number will be irrational. Because the product of an irrational and a rational number is an irrational

The only way the product of irrational number with rational number will produce a rational number is when the rational number is zero. Otherwise, it will always produce irrational number as a product.