University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

38

Pages:

3
Author:

Hamza Stanley

Radicals & Rational Exponents In your own words, write the meaning of each vocabulary term. nth root of a {i-e "i VIS"l.4"' �::o index of a radical radical 10"1, �.,e. -r t( '\ Core Concepts • Real nth Roots of a Let n be an integer greater than 1, and let a be a real number. • • If n is odd, then a has one real nth root: 1 C� ')(_?.\[�'\ z�� ¼=a 1n If n is even and a = 0, then a has one real nth root: 2 /o ::-q If n is even and a > 0, then a has two real nth roots: �ihtt, �o $0 c_r'{_?.'') 0 � 0 : • Vo=O +Va= +a 1/n • 0 If n is even and a < 0, then a has no real nth roots. ¼=N/A Rational Exponents Let 1/n Algebra be an nth root of a, and let m be a positive integer. a m/ 'I= (a l/1 ) m - 11,r;,) 111 = (v a Numbers 2 27 2/3 = (27 1/ ) = f r�.di-� �, 1 O>