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The Square Root Of A Number Is A Value That, When Multiplied By Itself, Gives The Original Number. For Example, √9 = 3 Because 3² = 9. |
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To Multiply Square Roots, Multiply The Values Inside The Square Roots And Then Find The Square Root Of The Result. For Example, √2 * √8 = √(2*8) = √16 = 4. |
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To Simplify Square Roots, Find The Prime Factors Of The Number Inside The Square Root And Look For Pairs Of Factors. For Example, √18 = √(9*2) = 3√2. |
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Solve the equation: √(x + 3) = 7. Hint: Start by squaring both sides to remove the square root. |
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Square Both Sides: (√(X + 3))² = 7², Which Simplifies To X + 3 = 49. Subtract 3 From Both Sides: X = 46. |
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You Can Only Add Square Roots If They Have The Same Radicand (The Number Inside The Square Root). For Example, √2 + √2 = 2√2, But √2 + √3 Cannot Be Simplified Further. |
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The Square Of A Binomial (A + B)² Is Given By A² + 2Ab + B². For Example, (3 + 4)² = 3² + 2(3)(4) + 4² = 9 + 24 + 16 = 49. |