Presentation on theme: "6.1 Radical Expression Function and Models. Properties of Square Roots Every positive real number has two real-number square roots. The number 0 has just."— Presentation transcript:
Properties of Square Roots Every positive real number has two real-number square roots. The number 0 has just one square root, 0 itself. Negative numbers do not have real-number square roots. Square Root The number c is a square root of a if c 2 = a.
1)Find the square roots of 9 Answer: 3 and -3 2)Find the square roots of 36 Answer: 6 and -6 3)Find the square roots of 1 Answer: 1 and -1 4)Find the square roots of -16 Answer: none because no real number square gives -16 Examples
principal square root (non-negative square root) is the radical sign and a is the radicand Example 1) 5= 0.2= -4-4= 10=
Example Find principal square roots and simplify. Slide 5
Find cube roots, simplifying certain expressions, and find outputs of cube-root functions. = 2 because 2 3 =8
For any real number : a) when k is an even natural number. Use absolute value when k is even unless a is nonnegative. b) when k is an odd natural number greater than 1. Do not use absolute value when k is odd. Slide 13