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5.5 Combined to be edited
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Terms in this set (24)
Square Root
A number (r) is a square root of a number (s) if r^2=s
Radical
operator to take the square root (square root sign)
Radicand
the expression under the radical (number inside a square root)
Radicals are simplified if...
-No radicand has a perfect square factor other than 1
-There is no radical in the denominator
What does ± mean?
Both positive and negative
Another way of writing √(1)?
1
What is the Principal Square Root?
Positive square root
What is Rationalizing?
Converting the function to a rational form when the denominator has a radical
G in GEMDAS?
Grouping
E in GEMDAS?
Exponents
M in GEMDAS?
Multiplication
D in GEMDAS?
Division
A IN GEMDAS?
Addition
S in GEMDAS?
Subtraction
What are Conjugates?
(a+√(b))(a-√(b))
How is a Conjugate used to simplify a fraction?
It uses the expression's opposite to get rid of the radical in the denominator.
Can there be a radicand in the Denominator?
No
What is an easy way to simplify radicals in the form of a fraction?
Solve the numerator and denominator separately.
Is 30.2 the principal square root of 906.01?
No, the principal (positive) square root of 906.01 is 30.1
How do you find the opposite of a squared number when using inverse operations?
by finding the square root
√g, what is g?
a radicand
What do you use to solve a more complex problem with a square root in the denominator?
You can use conjugates
When solving quadratic equations, which operation do you do first?
GEMDAS backwards will tell you the operations to start with
What is the conjugate of j + √(c)?
j - √(c)
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