Nth Roots And Rational Exponents (Math Worksheet)

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A
2 /T
Name _______________________
LGEBRA
RIGONOMETRY
Objective:
th
a. Evaluate n
roots of real numbers using both radical notation and
rational exponent notation.
th
b. Use n
roots to solve real-life problems.
Find the square root of 25.
When we use the symbol √
, we are actually evaluating _________________.
n
= _______, when we evaluate the square root of a number.
n
If we have some other root (
) that we want to evaluate, consider the symbol
below.
Instead of the radical √ , we can write the same expression as ______________.
Real Nth Roots
th
n
a
n
 If
is odd, then
has one real
root: ___________________________.
th
n
a
a
n
 If
is even and
> 0, then
has two real
roots: _____________________.
th
n
a
a
n
 If
is even and
= 0, then
has one
root: _____________________.
n
a
a
 If
is even and
< 0, then
has ________________________________.

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