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9-2 Investigating Properties of Square Roots notes

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Mrs. Aitken’s Integrated 1 MathUnit 9 Reasoning and MeasurementExample 2Simplifya. 2 3• 7 6b. 32 • 2 2Solution 2a.2 3•7 62• 7• 3• 6 ←Group radicals14•1814• 9•214• 3•242 2b.32 • 2 22 32•22 32 • 2 ←Group Radicals2•642•816Solving equations like 2x 2 = 36To solve, first get the x 2 -term by itself on one side <strong>of</strong> the equation. Keep in mind that suchequations will have two solutions, one positive and one negative, although only thepositive solution may make sense in the given situation.Example 3Solvea. 7x 2 = 525 b. 5x 2 = 315Solution 327x= 52527x525=7 72a. x = 75x =±x =±7525 • 3x =± 5 325x= 31525x315=5 52b. x = 63x =±x =±639•7x =± 3 79-2 <strong>Investigating</strong> <strong>Properties</strong> <strong>of</strong> <strong>Square</strong> <strong>Roots</strong>

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