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

Question

Cohen Mccullough

Mathematics

5 April, 01:36

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

+1

Answers (1)

Know the Answer?

Lillian Coleman · Answer 1

Answer: D.

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

Step-by-step 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.