Question
The perfect squares,1,4,9,16,25,...... are closed under
(A)addition (b) multiplication (c) square-rooting (d) none of these
(A)addition (b) multiplication (c) square-rooting (d) none of these
Asked by: USER9874
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129 Answers
Answer (129)
The perfect squares are closed under (b) multiplication.
We see 1+4=5, not a perfect square, not not closed under addition.
We see [tex]\sqrt{4}=2,[/tex] not a perfect square, so ...
But
[tex]a^2 \times b^2 = (ab)^2[/tex]
a perfect square
We see 1+4=5, not a perfect square, not not closed under addition.
We see [tex]\sqrt{4}=2,[/tex] not a perfect square, so ...
But
[tex]a^2 \times b^2 = (ab)^2[/tex]
a perfect square