These properties can be used to
simplify roots in the same way canceling is used to simplify fractions. For instance you normally would
not leave √25 without
simplifying it as 5 any more than you would leave 12/4 without reducing it to 3. Inif m is at least as large as n,
then
can
be simplified using Property 1
and Property 4
.
Practice
Solutions
Roots of
fractions or fractions with a root in the denominator are not simplified. To
eliminate roots in denominators, use the fact that and thatany nonzero number over itself is one. We will begin
with square roots. If the denominator is a square root, multiply the fraction
by the denominator over itself. This will force the new denominator to be a
perfect square.
Practice
Solutions
Sumber
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