The product of a rational number and an irrational number is _[blank]_ an irrational number. which word correctly fills in the blank to create a true statement? always sometimes never the product of two irrational numbers is _[blank]_ an irrational number. which word correctly fills in the blank to create a true statement? sometimes always never

1.a: Always

2.a:sometimes

Step-by-step explanation:

a.We have to fill correctly word in the blank

Suppose we have a=2 and b=

Then , product of a and b=

Product of rational number and irrational number is always an irrational number .

Therefore, option a is true

a: Always

b.We are given that product of two irrational numbers

Suppose, a=

b=4\sqrt3[/tex]

Product of a and b=

12 is a rational number .

If a=

Product of a and b=

Hence, product of  two irrational numbers is sometimes irrational number not always.

Option a is true

A:sometimes

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights