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Learn about radical expressions and functions, including definitions of terms like radicand, root index, and principal square root. Explore examples and practice evaluating expressions. Discover how to find the domain of a function with radical expressions.
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Chapter 7 Section 1 Radical Expressions and Functions
Vocabulary • Radical expression • Radical sign • b is the radicand • a is the root index
Principal square root • a is a nonnegative real number, the nonnegative number ‘b’ such that b2 = a, denoted by b = , is the principal square root of ‘a’ • - denotes the negative square root of a number.
Example • is 5 since 52 = 25 • is 10 since 102 = 100 • - is – 5 since (-5)2 = 25
Evaluate If f(x) = find 4) f(18) 5) f(2)
Find the domain 6) f(x) =
Evaluate 7) 8) Note the root index.
Evaluate 9) 10)