step 1 We know that we can break down 800 into its prime factors. There's five twos, therefore there's

Simplify. √(800)

Name: Problem 5, Chapter 8: McDougal Littell Jurgensen Geometry : Student Edition 2000
Uploaded: 2019-10-12T00:41:38-08:00
Duration: 17 s
Channel: Amrita Bhasin
Description: Simplify. √(800)

Key Concepts

Perfect Square Factors

Perfect square factors are numbers that result from an integer multiplied by itself. In the context of simplifying square roots, recognizing perfect square factors allows one to simplify the expression by taking the square root of these numbers outside the radical, thereby reducing the complexity of the radical expression.

Prime Factorization

Prime factorization is the process of breaking down a number into its prime components. This method is valuable when simplifying radicals because it helps in identifying perfect square factors. By expressing a number as a product of primes, one can easily group factors into pairs and extract them from under the radical, simplifying the expression effectively.

Radical Expressions

Radical expressions involve roots of numbers or variables, such as the square root. Understanding how radicals work is fundamental in algebra, as they represent values that, when raised to a specific power, reproduce the original number or expression. This concept is essential for solving equations and simplifying expressions involving roots.

Simplifying Radical Expressions

Simplifying radical expressions means rewriting a radical in its simplest form by extracting factors that are perfect powers of the index. In the case of square roots, this involves identifying and removing perfect square factors from under the radical, which makes the expression easier to work with in subsequent calculations.

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