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To simplify a square root expression that does not involve a fraction, we can use the following two rules:
Simplify each square root.
The exponent is even:
The exponent on the square root is 2.
Both exponents are even:
and
The exponent on the square root of
is 3. The exponent on the square root if
is 5.
The exponent is odd:
Then
Simplify each square root.
A square root expression is in simplified form if there are
The square root expressions and are in simplified form.
The square root expressions and are not in simplified form.
Simplify each square root.
Simplify each square root.
For the following problems, simplify each of the radical expressions.
(
[link] ) Graph the inequality
( [link] ) Supply the missing words. When looking at a graph from left-to-right, lines with _______ slope rise, while lines with __________ slope fall.
positive; negative
( [link] ) Simplify the complex fraction
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