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N-RN.3 Warmup M2-062-A08-V04

Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.

Classify a radical expression as rational or irrational after simplifying

Problem

Extract perfect-square factors from \(\sqrt{27}\) and \(\sqrt{12}\), subtract the like radicals, and classify the exact result.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
N-RN.3
Category
Number and Quantity
Domain
The Real Number System
Objective
Explain closure properties of rational numbers and irrational results from rational/irrational sums and products.
Problem type
Classify a radical expression as rational or irrational after simplifying