What is the perfect square of seven?

1 Answer
George C.
Jun 28, 2015

The square of seven is #49#. We say that #49# is a perfect square because it is the square of a whole number #7#.

Explanation:

If #n# is a whole number then we call it a perfect square if there is some whole #m# such that #n = m^2#.

If #x# is a rational number, then we call it a perfect square if there is some rational number #w# such that #x = w^2#. In fact if #x=p/q# is expressed in lowest terms (i.e. #p# and #q# have no common factor other than #1#) and #p >= 0#, #q > 0#, then it is a perfect square if and only if both #p# and #q# are perfect squares.

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