Question

Evaluate by hand. $$ \sqrt{9-5}-\frac{8-4}{4-2} $$

   Evaluate by hand.
$$
\sqrt{9-5}-\frac{8-4}{4-2}
$$

College Algebra with Modeling and Visualization

College Algebra with Modeling and Visualization

Gary K. Rockswold 4th Edition

Chapter 1, Problem 21

Instant Answer

Solved by Expert Rishabh Mittal

04/14/2021

Step 1

So, we have: $$ \sqrt{9-5}-\frac{8-4}{4-2} = \sqrt{4}-\frac{4}{2} $$ Show more…

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Evaluate by hand. $$ \sqrt{9-5}-\frac{8-4}{4-2} $$

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Key Concepts

Arithmetic Operations

Arithmetic operations include basic mathematical processes such as addition, subtraction, multiplication, and division. Mastery of these operations is crucial for evaluating and simplifying expressions correctly by combining and reducing numerical terms.

Square Roots

A square root of a number is a value that, when multiplied by itself, gives the original number. Understanding square roots is essential in simplifying expressions that involve radicals, allowing for accurate manipulation and reduction of terms in an expression.

Order of Operations (PEMDAS/BODMAS)

This concept refers to the established rules that determine the sequence in which operations should be performed in a mathematical expression. In evaluating expressions with multiple operations such as parentheses, exponents, multiplication, division, addition, and subtraction, using the correct order ensures the accurate simplification and evaluation of the expression.

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