Vocabulary
PERFECT
SQUARES
GETTING
SIMPLE
MULTIPLYING &
DIVIDING RAD
RADICAL
EQUATIONS
100

FOR A GIVEN VALUE, IT'S THE NUMBER THAT, WHEN MULTIPLIED BY ITSELF, YIELDS THE ORIGINAL VALUE

WHAT IS 

SQUARE ROOT?

100

√64

WHAT IS 

8?

100

TO TAKE THE SQUARE ROOT OF A VARIABLE, DIVIDE ITS POWER BY THIS PRIME NUMBER

What is

2?

100

√3 * -√2

What is

-√6 ?

100

THIS IS THE FIRST STEP YOU MUST ALWAYS CHECK FOR

WHAT IS 

ISOLATE THE RADICAL?

200

THE NUMBER WRITTEN UNDER THE RADICAL SYMBOL

WHAT IS 

RADICAND?

200

√400

WHAT IS

20?

200

SIMPLIFY √n7 

What is

n√n ?

200

4√6n2 * √6n

What is

24n√n ?

200

TO GET RID OF THE RADICAL ON EITHER SIDE OF THE EQUATION, YOU MUST DO THIS

WHAT IS 

SQUARE BOTH SIDES?

300

THE NUMBER WRITTEN ABOVE THE RADICAL SYMBOL, IT INDICATES WHICH ROOT IS TAKEN

WHAT IS

INDEX?

300

√121

WHAT IS 11?

300

SIMPLIFY √63b2

What is

3b√7 ?

300

(2√7 + 1)2

What is

29 + 4√7 ?

300

WHEN CHECKING YOUR SOLUTIONS, SOME DON'T WORK AND WE CALL THEM THIS

WHAT IS

EXTRANEOUS ?

(or extraneous solutions)

400

YOU MUST DO THIS TO A FRACTION WITH A RADICAL IN ITS DENOMINATOR

WHAT IS RATIONALIZE?

400

√256

WHAT IS 

16?

400

SIMPLIFY

4√5 + 8√5

What is

12√5 ?

400

√14r2 * √6r7

What is 

2r4√21r ?

400

WHEN YOU SQUARE A BINOMIAL AND END UP WITH A QUADRATIC EQUATION, YOU'LL LIKELY HAVE TO SOLVE USING THIS STRATEGY

WHAT IS

FACTORING?

(also acceptable: "X GAME" or quadratic formula)

500

THE EXPRESSION OBTAINED BY CHANGING THE SIGN BETWEEN THE TERMS OF A BINOMIAL

WHAT IS

CONJUGATE?

500

√324 

WHAT IS

18?

500

SIMPLIFY

-4√160 - 2√90

What is 

-22√10 ?

500

(6√48) ÷ (4√6)

What is

3√2 ?

500

IF NEITHER OF YOUR SOLUTIONS WORK, AND YOU DIDN'T MAKE A MISTAKE, THIS IS YOUR ANSWER

WHAT IS

"NO SOLUTION" ?

M
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