RADICAL THEOREMS

Question 1

∛x is called

Answer 1

a radical

Question 2

3 is the

Answer 2

index or order

Question 3

x is called

Answer 3

the radicand

Question 4

√ is the

Answer 4

radical sign

Question 5

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

Answer 5

exactly one root of the radicand

Question 6

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

Answer 6

are two real roots. One negative, one positive

Question 7

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

Answer 7

complex number, imaginary i

Question 8

A radical is simplified when

Answer 8

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

Question 9

Similar radicals are

Answer 9

radicals with the same index and radicands

can be combined into a sigle term by associative property