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CONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 3 7 —— + —— x x
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Ch. R - Algebra Review
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891
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TOC.tableOfContents
- Ch. R - Algebra Review381
- Ch. 1 - Trigonometric Functions188
- Ch. 2 - Acute Angles and Right Triangles168
- Ch. 3 - Radian Measure and The Unit Circle155
- Ch. 4 - Graphs of the Circular Functions100
- Ch. 5 - Trigonometric Identities238
- Ch. 6 - Inverse Circular Functions and Trigonometric Equations158
- Ch. 7 - Applications of Trigonometry and Vectors148
- Ch. 8 - Complex Numbers, Polar Equations, and Parametric Equations15
Lial12th EditionTrigonometryISBN: 9780136552161, 9780135440780, 9780136881117, 9780135440827, 9780135924891Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 7
CONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. √25 + √64
Guida verificata passo dopo passo1
Recognize that the problem involves square roots of perfect squares: \(\sqrt{25}\) and \(\sqrt{64}\).
Recall that \(\sqrt{25}\) is the number which, when squared, gives 25. Similarly, \(\sqrt{64}\) is the number which, when squared, gives 64.
Identify the values of these square roots: \(\sqrt{25} = 5\) and \(\sqrt{64} = 8\).
Add the two results together: \(5 + 8\).
Write the final answer as the sum of these two numbers without intermediate calculations.
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Square Roots
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, √25 equals 5 because 5 × 5 = 25. Understanding square roots helps simplify expressions involving radicals.
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Percorso guidato
2:20
Imaginary Roots with the Square Root Property
Simplification of Radicals
Simplifying radicals involves finding the simplest form of a square root or other root expression. Recognizing perfect squares like 25 and 64 allows quick simplification to integers, making mental calculations easier.
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Percorso guidato
6:20Example 6
Mental Arithmetic with Radicals
Performing operations mentally requires familiarity with common square roots and basic arithmetic. Adding simplified square roots directly, such as 5 + 8, helps solve problems quickly without writing intermediate steps.
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Percorso guidato
2:58Rationalizing Denominators
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