# perfect square

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## perfect square

[′pər·fikt ′skwer]
(mathematics)
A number or polynomial which is the exact square of another number or polynomial.
References in periodicals archive ?
Investigate and use square roots of perfect square numbers (ACMNA150)
Originally, a problem of finding the Diophantine quadruple with a property D(w),or the D(w)--quadruple for short, consisted of deriving a set {[w.sub.1], [w.sub.2], [w.sub.3], [w.sub.4]} of four nonzero integers with the property that [w.sub.i] x [w.sub.j] + w is a perfect square, for i,j [member of] {1, 2, 3,4}, i [not equal to] j,and Diophantus observed that the mentioned set is a D(256) quadruple.
and at the outside borders, small, perfect squares to keep the petals
Slice off the corners for perfect squares or chop them into triangles.
The Perfect Squares. The children had already learned the commutative property of multiplication (e.g., 6 x 7 = 7 x 6).
For example in the teaching of difference of two perfect squares, he links the algebra to mental arithmetic and area.
Though the paper broadly addresses the area of Mathematics the first mission used in this study included three arithmetic topics, Prime numbers, Even and Odd numbers and Perfect Squares. The other missions in the Dimension-M game had other pre-algebra and algebra topics.
Squares Table 64 in Albert Beiler's "Recreations in the Theory of Numbers" (Dover, New York, 1966) lists 30 S-numbers which are perfect squares, including D1, F4 and G2 above.
"To find out the cube root of up to 15-digit perfect cubes or the square root of up to 10-digit perfect squares will take me between 15 and 50 seconds, depending on the number of digits involved," said Mr Thomas.
Thus, the triangles whose areas are perfect squares must be such that
After this, the rectangular cross section analysis was divided into two separate analyses: one for perfect squares where both cross-sectional dimensions were exactly the same and the other for boards whose thickness and width were different.
These were shaped and polished into perfect squares and the possessor of a matched set of marble gobs wouldn't have swapped one for all of Liz Taylor's diamonds.

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