step 1 For the square root of 72, in order to simplify, we need to find factors of 72 that are also per

Simplify. √(72)

Name: Problem 2, Chapter 8: McDougal Littell Jurgensen Geometry : Student Edition 2000
Uploaded: 2020-03-17T01:42:04-08:00
Duration: 50 s
Channel: Emily Schilz
Description: Simplify. √(72)

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Key Concepts

Simplifying Radical Expressions

This concept involves rewriting a radical (such as a square root) in its simplest form by extracting factors that are perfect squares. The aim is to express the number under the radical sign as a product of a perfect square and another factor, allowing the perfect square part to be moved outside the radical.

Perfect Square Factors

Perfect square factors are numbers that can be expressed as the square of an integer. Identifying these within the radicand (the number under the radical sign) is essential, because once a perfect square factor is found, its square root can be taken directly, simplifying the overall expression.

Prime Factorization

Prime factorization is the process of breaking down a number into its prime components. This method is useful for identifying perfect square factors within the radicand, as it allows one to group identical prime factors, thereby revealing perfect squares that can be extracted from under the radical.

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