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Solving Radical Equations

Across
the square root of 64 is _______ ( spell out the number)
To get rid of a radical you take it to a power that will change the rational exponent to a ______ number.
A check is essential when we raise both sides of an equation to a ____ power.
If a = b, then a(n) = B(n) for any exponent n. (hint: the n is not an exponent).
A _______ equation is an equation in which the variable appears in a radicand.
If t = 7, then T squared = 49
When we raise both sides of an equation to an even exponent, it is essential that we check the answer in the original equation.
It is important that we isolate a radical term before using the principle of powers.
Equations with ___ Radical terms
Once one radical is already isolated, we ______ both sides.
"________ equations" can be any root, whether a square root, a cube root, or some other root.
To solve an equation with two or more radical terms _______ one of the radical terms/
if you get a false statement, then that value is ___ a solution
Square root of 36 is ___ ( hint: Spell out the number)
An equation that contains a radical expression is called a ____ ____. (Hint: two words)
when both sides of an equation are raised to an even power, the possibility exists that _______ solution will be introduced
When solving a radical equation, it is important to always _____ your answer by substituting the value back into the original equation.
Down
here is another way to look at this "no solution" difficulty: When you are solving an equation, you can view the process as trying to find where two lines intersect on a ____.
( x - 7) ( x - 3 ) is an example of
Before using the principle of powers, we must isolate the radical ____
We can use ___________ Notation to solve (2x+1) 1/3 + 5 = 0
When we "square both sides" of an equation, we are using the principle of ______.
a number that produces a specified quantity when multiplied by itself.
( x - 7) ( x - 3 ) = 0 is an example of ____ products.
True or False: It is not important that we isolate a radical term before using the principle of powers.
When n is ____, every solution of x = a is a solution of x to the power of n = a to the power of n but not every solution of x to the power of n = a to the power of n is a solution of x = a
Square ____ sides
When both sides are raised to an ___ power, a check is not essential.
True or False: ( A+ B) 2 = A 2 + B2 (hint: the 2s mean square.)
When we raise both sides of an equation to an even exponent, it is essential that we check the answer in the ________ equation.
If you get a true statement, then that value is a _______
A common method for solving radical equations is to raise both sides of an equation to whatever power will __________ the radical sign from the equation.