Domanda del libro di testo
CONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x/5 + x/4
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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 9
CONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. √6 • √6
Guida verificata passo dopo passo1
Recall the property of square roots that states: \(\sqrt{a} \times \sqrt{a} = a\) for any positive number \(a\).
Apply this property to the given expression \(\sqrt{6} \times \sqrt{6}\).
Since both square roots are of the same number 6, multiply them directly using the property: \(\sqrt{6} \times \sqrt{6} = 6\).
Understand that this operation simplifies the expression by removing the square root, leaving just the number inside.
Therefore, the result of \(\sqrt{6} \times \sqrt{6}\) is simply 6.
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Square Roots and Radicals
A square root of a number is a value that, when multiplied by itself, gives the original number. The symbol √ denotes the square root. Understanding how to manipulate square roots is essential for simplifying expressions involving radicals.
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Percorso guidato
2:20
Imaginary Roots with the Square Root Property
Multiplication of Radicals
When multiplying two square roots, you can multiply the numbers inside the radicals directly: √a × √b = √(a × b). This property allows simplification of expressions without expanding intermediate steps.
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Percorso guidato
04:3945-45-90 Triangles
Simplification of Radical Expressions
Simplifying radicals involves reducing the expression to its simplest form, often by recognizing perfect squares. For example, √6 × √6 equals √(6×6) = √36, which simplifies to 6, a whole number.
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6:36Simplifying Trig Expressions
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