Question

Simplify. $$ 32 m 10 n 5-----\sqrt{5} $$

   Simplify.
$$
32 m 10 n 5-----\sqrt{5}
$$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 8, Problem 45

Instant Answer

Solved by Expert James Kiss

02/02/2022

Step 1

Step 1: First, we can rewrite the expression as follows: $$ \sqrt[5]{32m^{10}n^5} $$ Show more…

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Simplify. $$ 32 m 10 n 5-----\sqrt{5} $$

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Key Concepts

Algebraic Simplification

This is the process of reducing an algebraic expression to its simplest form by combining like terms, factoring when possible, and performing arithmetic operations to make the structure as clear and compact as possible.

Radical Expressions

Radical expressions involve roots, such as square roots, and simplifying these expressions often includes factoring out perfect squares from beneath the radical to express the value in a simpler form or to combine like radical terms.

Rationalizing the Denominator

This key concept involves the elimination of a radical from the denominator of a fraction. It is achieved by multiplying both the numerator and the denominator by an appropriate expression that will convert the denominator into a rational number.

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