16. To divide radicals: divide the coefficients, divide the
radicands if possible, and rationalize the denominator so that no
radical remains in the denominator
17. = 7 56 =8 =2*4 22
18. = 7 6 This cannot be divided which leaves the radical in
the denominator. We do not leave radicals in the denominator. So we
need to rationalize by multiplying the fraction by something so we
can eliminate the radical in the denominator. = 7 7 * 7 6 = 49 42 7
42 42 cannot be simplified, so we are finished.
19. This can be divided which leaves the radical in the
denominator. We do not leave radicals in the denominator. So we
need to rationalize by multiplying the fraction by something so we
can eliminate the radical in the denominator. = 10 5 = 2 2 * 2 1 10
2
20. This cannot be divided which leaves the radical in the
denominator. We do not leave radicals in the denominator. So we
need to rationalize by multiplying the fraction by something so we
can eliminate the radical in the denominator. = 12 3 = 3 3 * 12 3 =
36 33 = 6 33 6 3 Reduce the fraction.
21. 2 X 6 Y 264 YXP 24 4 YX 108 25 DC = X = Y3 = P2 X3 Y = 2X2
Y = 5C4 D10
22. 3 X XX = = XX *2 YY 45 Y = = YY 2
23. 33 YPX 27 12 YX 98 25 DC = = = 5 Y PXYYX *22 5 Y
PXYXY=