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Standards/Math/Alabama/G.1

G.1

G Geometry with Data Analysis
G.1
G.10
G.11
G.12
G.13
G.14
G.15
G.16
G.17
G.18
G.19
G.2
G.20
G.21
G.22
G.23
G.24
G.25
G.26
G.27
G.28
G.29
G.3
G.30
G.31
G.32
G.33
G.34
G.35
G.36
G.37
G.38
G.4
G.5
G.6
G.7
G.8
G.9

Extend understanding of irrational and rational numbers by rewriting expressions involving radicals, including addition, subtraction, multiplication, and division, in order to recognize geometric patterns.

Example Problems
Simplify:
45​
Simplify:
32​
Simplify:
80​
Khan Academy Resources
Simplify square-root expressionsProof: there's an irrational number between any two rational numbersProof: sum & product of two rationals is rationalProof: square roots of prime numbers are irrationalWorked example: rational vs. irrational expressions (unknowns)Worked example: rational vs. irrational expressionsProof: √2 is irrationalSums and products of irrational numbersProof: sum of rational & irrational is irrationalProof: product of rational & irrational is irrational
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