A27-1 nth roots notes
- 1. Algebra 2 7.1 nth Roots and Rational Exponents What is a square root? __________________________________________ What is a cube root? ____________________________________________ What is an nth root? ____________________________________________ Roots can also be written as an _____________________________________. 3 n a b c If you square a positive number, your answer is ___________________________ Square a negative number, answer is ____________________________ If you cube a positive number, your answer is ____________________________ Cube a negative number, answer is _____________________________ Even Roots Odd Roots The root of a positive number has ______ The root of a positive number has _______ solutions: solution: The root of 0 is _____ The root of 0 is ______ The root of a negative number is The root of a negative number is _____________________ ________________________ EX1: Find the indicated nth roots. a) n = 3, a = -125 b) n = 4, a = 16
- 2. Rational Exponents EX2: a) 93/2 b) 32-2/5 Solving Equations EX3: a) 2x 4 = 162 3 b) ( x − 2 ) = 10 HW p. 404 (14 – 40 even)