Classifying Numbers and Square Roots
Classify the number with its most specific number system:
7
Natural Number
Properties of equality
Rewrite in simplest radical form:
sqrt(18)
3sqrt(2)
TRUE or FALSE:
In order to add or subtract radicals, you must have the same radicand.
TRUE
When must we rationalize a denominator?
When there is a radical in the denominator.
Classify the number with its most specific number system:
1/8
Rational Number
This property is used when multiplying an outside term by terms on the inside of a grouping.
Distributive Property
Rewrite in simplest radical form:
sqrt(24)
2sqrt(6)
In order to multiply or divide radicals, you must have the same radicand.
FALSE
How do we rationalize a denominator?
Multiply both the top and bottom by the denominator.
Classify the number with its most specific number system:
pi
Irrational Number
1/3(2x-5)=33
x=52
Rewrite in simplest radical form:
sqrt56
2sqrt(14)
sqrt32+sqrt18
7sqrt2
Rationalize:
10/sqrt2
5sqrt(2)
Classify the number with its most specific number system:
-sqrt(36)
-4-3x+10=-4+2x
x=2
Rewrite in simplest radical form:
sqrt(96)
4sqrt6
sqrt(99)-sqrt(44)
sqrt(11)
Rationalize:
6/sqrt5
(6sqrt5)/5
Classify the number with its most specific number system:
0
Whole Number
(2x)/3+x/2=5/6
x=5/7
Rewrite in simplest radical form:
sqrt245
7sqrt5
sqrt(72)-sqrt(98)
-sqrt(2)
Rationalize:
6/sqrt(18)
sqrt(2)