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The Square Root Property Remember: Every positive number has 2 square roots – a positive one and a negative one. Squaring and taking the square root are opposite operations and “undo” each other. 𝑥 2 = 64 Example 1: The square root of x2 is x. 𝑥= ± 8 64 has both a + and a – square root. Example 2: Radials need to be simplified! 𝑥 2 = 18 𝑥 = ± √18 𝑥 = ± √9 ∗ √2 𝑥 = ± 3√2 Example 3: (𝑥 + 4)2 = 9 √(𝑥 + 4)2 = ±√9 𝑥+4 = ± 3 𝑥 + 4 = +3 or x + 4 = - 3 x=-1 or x=-7 You need to solve for both the positive and the negative square root. The Square Root Property Example 4: (3𝑥 + 4)2 = 18 √(3𝑥 + 4)2 = ± √18 3𝑥 + 4 = ± 3√2 3𝑥 = −4 ± 3√2 𝑥= 𝑥= − 4 ± 3√2 3 − 4 − 3√2 − 4 + 3√2 , 3 3 For MyMathLab you have to write 2 separate answers.