Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Irrational Numbers
Rationalization
Simplification
Radicals
Square Roots
Formulas
Rationalization formula: Multiply numerator and denominator by the conjugate
Algebraic identities for radicals: (a+b)(a-b) = a^2 - b^2
Basic operations with square roots
Theorems
Irrational number theorem: √a − √b is irrational if a and b are not perfect squares and are distinct
Properties of radicals
Suitable Grade Level
Grades 9-12