RADICAL THEOREMS Flashcards

1
Q

∛x is called

A

a radical

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2
Q

3 is the

A

index or order

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3
Q

x is called

A

the radicand

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4
Q

√ is the

A

radical sign

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5
Q

if index is odd, and radicand is a real number, there is exactly

A

exactly one root of the radicand

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6
Q

If index is even, and radicand is positive, then then there

A

are two real roots. One negative, one positive

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7
Q

If index is even, and radicand is negative, it’s a

A

complex number, imaginary i

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8
Q

A radical is simplified when

A

a. the index of the radical is greater than any exponent in the radicand
b. the radicand is free of fraction or decimal
c. there are no radicals in the denominator of a fraction

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9
Q

Similar radicals are

A

radicals with the same index and radicands

can be combined into a sigle term by associative property

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