Multiple ChoiceRationalize the denominator. ο»Ώ6+xβx\frac{6+\sqrt{x}}{-\sqrt{x}}βxβ6+xββο»Ώ335views5rank
Multiple ChoiceRationalize the denominator and simplify the radical expression.ο»Ώ75β6\frac{\sqrt7}{5-\sqrt6}5β6β7ββο»Ώ 324views3rank
Multiple ChoiceRationalize the denominator and simplify the radical expression. ο»Ώ2β32+3\frac{2-\sqrt3}{2+\sqrt3}2+3β2β3ββο»Ώ229views2rank
Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. β25 + β643views
Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. β6 β’ β64views
Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. (β28 - β14) (β28 + β14)3views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. β3 β’ β53views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. β3 β’ β276views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. β7β164views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. β4β504views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. β5 β204views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. 30β10 5β22views
Textbook QuestionRationalize each denominator. See Example 8. β2 - β3 ββββ β6 - β53views
Textbook QuestionFor Individual or Group Work (Exercises 147 β 150)In calculus, it is sometimes desirable to rationalize a numerator. To do this, we multiply the numerator and the denominator by the conjugate of the numerator. For example, 6 - β2 = 6 - β2 β’ 6 + β2 = 36 - 2 = 34 = 17 . 4 4 6 + β2 4(6 + β2) 4(6 + β2) 2(6 + β2) Rationalize each numerator. 6 - β3 84views
Textbook QuestionFor Individual or Group Work (Exercises 147 β 150)In calculus, it is sometimes desirable to rationalize a numerator. To do this, we multiply the numerator and the denominator by the conjugate of the numerator. For example, 6 - β2 = 6 - β2 β’ 6 + β2 = 36 - 2 = 34 = 17 . 4 4 6 + β2 4(6 + β2) 4(6 + β2) 2(6 + β2) Rationalize each numerator. 2β10 + β7 304views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x 10x ββ β’ βββ 5 xΒ²2views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 3 7 ββ + ββ x x5views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x x ββ + ββ 5 44views
Textbook QuestionFind the domain of each rational expression. See Example 1. 3x + 7 βββββββ (4x + 2) (x - 1)3views
Textbook QuestionFind the domain of each rational expression. See Example 1. 12 ββββββ xΒ² + 5x + 63views
Textbook QuestionFind the domain of each rational expression. See Example 1. xΒ² - 1 ββββ x + 15views
Textbook QuestionFind the domain of each rational expression. See Example 1. xΒ³ - 1 ββββ x - 14views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 8xΒ² + 16x 4xΒ²3views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 3 (3 - t) ββββββ (t + 5) (t - 3)5views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 8k + 16 9k + 182views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. mΒ² - 4m + 4 mΒ² + m - 63views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 8mΒ² + 6m - 9 16mΒ² - 96views
Textbook QuestionMultiply or divide, as indicated. See Example 3. 15pΒ³ 12p ββ β’ βββ 9pΒ² 10pΒ³5views
Textbook QuestionMultiply or divide, as indicated. See Example 3. 2k + 8 3k + 12 ββββ Γ· ββββ 6 25views
Textbook QuestionMultiply or divide, as indicated. See Example 3. xΒ² + x 25 ββββ β’ ββββ 5 xy + y4views
Textbook QuestionMultiply or divide, as indicated. See Example 3. 4a + 12 aΒ² - 9 βββββ Γ· βββββ 2a - 10 aΒ² - a - 205views
Textbook QuestionMultiply or divide, as indicated. See Example 3. mΒ² + 3m + 2 mΒ² + 5m + 6 βββββββ Γ· ββββββββ mΒ² + 5m + 4 mΒ² + 10m + 243views
Textbook QuestionMultiply or divide, as indicated. See Example 3. xz - xw + 2yz - 2yw 4z + 4w +xz +wx ββββββββββ β’ βββββββββ zΒ² - wΒ² 16 - xΒ²5views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 1 2 4 ββ + ββ + ββ 6m 5m m4views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 5 11 ββββ - βββ 12xΒ²y 6xy2views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 17y + 3 -10y - 18 ββββ - βββββ 9y + 7 9y + 72views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 1 1 βββ + βββ x + z x - z4views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 3 1 βββ - βββ a - 2 2 - a4views
Textbook QuestionAdd or subtract, as indicated. See Example 4. x + y 2x βββ - βββ 2x - y y - 2x4views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 4 1 12 ββββ + ββββββ - ββββ x + 1 xΒ² - x + 1 xΒ³ + 15views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 3x x ββββββ - ββββ xΒ² + x - 12 xΒ² - 164views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 4 - β 3 ββββ 2 β 94views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 5β8 + 2β3 ββββ 7β3 - 1β44views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. ( -4β3 ) + 12β5 ββββββββ 1 - ( -4β3 ) (12β5)4views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 1 + 1 x ββββ 1 - 1 x6views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. x y β + β y x ββββββ x y β - β y x5views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 1 1 βββ - ββ x + 1 x ββββββββ 1 ββ x4views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. y + 3 4 ββββ - ββββ y y - 1 ββββββββββ y 1 βββ + ββ y - 1 y3views
Textbook Question(Modeling) Distance from the Origin of the Nile River The Nile River in Africa is about 4000 mi long. The Nile begins as an outlet of Lake Victoria at an altitude of 7000 ft above sea level and empties into the Mediterranean Sea at sea level (0 ft). The distance from its origin in thousands of miles is related to its height above sea level in thousands of feet (x) by the following formula. 7 - x Distance = βββββββ 0.639x + 1.75 For example, when the river is at an altitude of 600 ft, x = 0.6Β (thousand), and the distance from the origin is 7 - 0.6 Distance = βββββββββ β 3, which represents 3000 mi. 0.639(0.6) + 1.75 (Data from The World Almanac and Book of Facts.) What is the distance from the origin of the Nile when the river has an altitude of 7000 ft?5views