The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.
The intersection of two sets has been the set that includes each of the elements which are shared by both sets.
The symbol for set intersection is "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.
Now, according to the question;
Set G is the set of positive integers divisible by 4, and
Set F is the set of perfect squares;
Then,
G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}
F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}
So, by the intersection of the sets;
G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.
G ∩ F = {4; 16; 36; 64; 100}
Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.
To know more about the intersection of sets, here
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