Question

Simplify each expression. $$ (\sqrt{3}+\sqrt{5})^{2} $$

   Simplify each expression.
$$
(\sqrt{3}+\sqrt{5})^{2}
$$

Algebra 1 Common Core

Algebra 1 Common Core

Randall I.… 1st Edition

Chapter 10, Problem 50

Instant Answer

Solved by Expert Philippe Martin

04/07/2020

Step 1

Step 1: We start by expanding the expression $(\sqrt{3}+\sqrt{5})^{2}$ as $(\sqrt{3}+\sqrt{5})(\sqrt{3}+\sqrt{5})$. Show more…

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Simplify each expression. $$ (\sqrt{3}+\sqrt{5})^{2} $$

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Key Concepts

Binomial Expansion

This concept covers the expansion of an expression in the form (a + b)² using the formula a² + 2ab + b². It is fundamental in algebra for breaking down and simplifying squared binomials into individual terms.

Radical Expressions

This concept involves dealing with expressions that include square roots or other radical terms. It includes applying properties of radicals such as simplifying, multiplying, or adding radical expressions when possible.

Algebraic Simplification

This concept focuses on reducing expressions to their simplest form by combining like terms and applying arithmetic operations. It is a key component in making complex expressions more manageable and understandable.

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