Verify the following statements using venn diagrams: s intersection t = t intersection s s union t = t union s r union (s union t) = (r union s) union t r intersection (s intersection t) = (r intersection s) intersection t

Step-by-step explanation:

As you can see in the first image, S∩T and T∩S is the common elements between S and T.

As you can see in the second image, the union is all the elements in both sets written as one set. The order TUS and SUT represent the same.

As you can see in the third image, the union between the three sets are all elements written as a set. The movement of parentesis doesn't change the result.

As you can see in the last image, intersection between the three sets are the common elements in the three sets. The movement of parentesis doesn't change the result.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d