Here are the essential concepts you must grasp in order to answer the question correctly.
Binomial Expansion
Binomial expansion refers to the process of expanding expressions that are raised to a power, particularly those in the form of (a + b)². The formula for this expansion is (a + b)² = a² + 2ab + b², which allows us to calculate the square of a binomial by squaring each term and adding twice the product of the two terms.
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Square Roots
Square roots are a fundamental concept in mathematics, representing a value that, when multiplied by itself, gives the original number. In the expression √5, the square root of 5 is an irrational number approximately equal to 2.236. Understanding square roots is essential for simplifying expressions that involve radical terms.
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Algebraic Simplification
Algebraic simplification involves reducing expressions to their simplest form by combining like terms and applying arithmetic operations. In the context of the given expression, simplifying (√5 + 2)² requires careful application of the binomial expansion and combining the resulting terms to achieve a concise final expression.
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