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kvadrerede

Kvadrerede is a Danish term that refers to the operation of squaring, i.e., raising a number to the second power. In mathematics, the verb kvadrere is used to indicate the action of multiplying a number by itself, and kvadrerede is the past tense form in standard Danish. The result of squaring a number x is written as x^2.

In numeric terms, the square of 3 is 3^2 = 9, and the square of -4 is (-4)^2

Algebraic properties include (ab)^2 = a^2 b^2 and (a + b)^2 = a^2 + 2ab + b^2. Squaring interacts with addition,

In Danish usage, kvadrerede appears as a past-tense form of kvadrere. The broader term for the mathematical

=
16.
The
square
of
a
number
is
always
nonnegative.
Squaring
is
an
example
of
an
exponentiation
operation
and
is
widely
used
in
various
areas
of
mathematics
and
applied
sciences.
Geometrically,
the
square
of
a
real
number
x
corresponds
to
the
area
of
a
square
with
side
length
x,
giving
the
interpretation
x^2
as
an
area.
multiplication,
and
other
powers
in
predictable
ways,
and
it
plays
a
key
role
in
formulas,
equations,
and
proofs.
The
concept
underpins
many
practical
tools,
such
as
the
Pythagorean
theorem,
where
squared
lengths
relate
to
the
geometry
of
right
triangles,
and
in
statistics,
where
squared
deviations
form
the
basis
of
variance
measures.
operation
is
kvadrering,
with
x^2
denoting
the
square
of
x.
See
also
power,
perfect
square,
and
related
algebraic
concepts.