456 CHAPTER 8 Roots, Radicals, and Root Functions
Complete solution available
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8.4 EXERCISES
Simplify. Assume that all variables represent positive real numbers. See Examples 1 and 2.Simplify. Assume that all variables represent positive real numbers. See Example 3.39. 40. 41.
42. 43. 44.
45. 46. 47.
48. 49. 50.
51. 52.
53. 54.- 4
B
3
4
t^9+ 3
B
3
9
t^123
B
3
2
x^6- 4
B
3
5
x^92 a
B4
a
16- 5 a
B
4
a
813
B
3
m^5
27- 2 m
B
3
m^2
64B
100
y^4+
B
81
B y^1025
x^8+
B
9
x^65
B
288
25
+ 21
22
218
3
B
50
9
+ 8
22
28
227
2
-
323
2
+
23
24
232
3
+
222
3
-
22
29
B
12
16
+
B
48
B^64
8
9
+
B
18
36
423
3
+
223
9
225
3
+
25
6
248 -
281
29
28 -
264
216
2238 x^4 + 32416 x^532364 m^4 + 52481 m^523192 st^4 - 227 s^3 t 2125 a^5 b^5 + 23125 a^4 b^42364 xy^2 + 2327 x^4 y^524625 s^3 t+ 2481 s^7 t^522432 a^3 + 5242 a^3524243 x^3 + 2243 x^3324 x^5 y- 2 x 24 xy 224 m^9 p^6 - 3 m^2 p 24 mp^252432 + 324162 224512 + 42432
3 x 23 xy^2 - 2238 x^4 y^26 q^2235 q- 2 q 2340 q^4323 x^2 y- 5238 x^2 y 323 x^2 y^2 - 22364 x^2 y^222327 x- 2238 x 623128 m- 32316 m22316 + 2354 152381 + 42324
3272 m^2 - 5232 m^2 - 3218 m^29227 p^2 - 142108 p^2 + 2248 p^2272 x- 28 x 218 k- 272 k