Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. √25 + √6443views
Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. √6 • √651views
Textbook QuestionCONCEPT PREVIEW Perform the operations mentally, and write the answers without doing intermediate steps. (√28 - √14) (√28 + √14)47views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. √3 • √546views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. √3 • √2744views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. √7⁄1652views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. √4⁄5046views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. √5 √2041views
Textbook QuestionUse the product and quotient rules for radicals to rewrite each expression. See Example 4. 30√10 5√239views
Textbook QuestionFor Individual or Group Work (Exercises 147 – 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 - √2 = 6 - √2 • 6 + √2 = 36 - 2 = 34 = 17 . 4 4 6 + √2 4(6 + √2) 4(6 + √2) 2(6 + √2) Rationalize each numerator. 6 - √3 851views
Textbook QuestionFor Individual or Group Work (Exercises 147 – 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 - √2 = 6 - √2 • 6 + √2 = 36 - 2 = 34 = 17 . 4 4 6 + √2 4(6 + √2) 4(6 + √2) 2(6 + √2) Rationalize each numerator. 2√10 + √7 3044views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x 10x —— • ——— 5 x²47views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 3 7 —— + —— x x51views
Textbook QuestionCONCEPT PREVIEW Perform the indicated operation, and write each answer in lowest terms 2x x —— + —— 5 444views
Textbook QuestionFind the domain of each rational expression. See Example 1. 3x + 7 ——————— (4x + 2) (x - 1)50views
Textbook QuestionFind the domain of each rational expression. See Example 1. 12 —————— x² + 5x + 649views
Textbook QuestionFind the domain of each rational expression. See Example 1. x² - 1 ———— x + 149views
Textbook QuestionFind the domain of each rational expression. See Example 1. x³ - 1 ———— x - 152views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 3 (3 - t) —————— (t + 5) (t - 3)53views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 8k + 16 9k + 1845views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. m² - 4m + 4 m² + m - 651views
Textbook QuestionWrite each rational expression in lowest terms. See Example 2. 8m² + 6m - 9 16m² - 948views
Textbook QuestionMultiply or divide, as indicated. See Example 3. 2k + 8 3k + 12 ———— ÷ ———— 6 252views
Textbook QuestionMultiply or divide, as indicated. See Example 3. x² + x 25 ———— • ———— 5 xy + y48views
Textbook QuestionMultiply or divide, as indicated. See Example 3. 4a + 12 a² - 9 ————— ÷ ————— 2a - 10 a² - a - 2052views
Textbook QuestionMultiply or divide, as indicated. See Example 3. m² + 3m + 2 m² + 5m + 6 ——————— ÷ ———————— m² + 5m + 4 m² + 10m + 2446views
Textbook QuestionMultiply or divide, as indicated. See Example 3. xz - xw + 2yz - 2yw 4z + 4w +xz +wx —————————— • ————————— z² - w² 16 - x²43views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 17y + 3 -10y - 18 ———— - ————— 9y + 7 9y + 746views
Textbook QuestionAdd or subtract, as indicated. See Example 4. x + y 2x ——— - ——— 2x - y y - 2x44views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 4 1 12 ———— + —————— - ———— x + 1 x² - x + 1 x³ + 148views
Textbook QuestionAdd or subtract, as indicated. See Example 4. 3x x —————— - ———— x² + x - 12 x² - 1648views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 5⁄8 + 2⁄3 ———— 7⁄3 - 1⁄445views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. ( -4⁄3 ) + 12⁄5 ———————— 1 - ( -4⁄3 ) (12⁄5)45views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. x y — + — y x —————— x y — - — y x52views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. 1 1 ——— - —— x + 1 x ———————— 1 —— x49views
Textbook QuestionSimplify each complex fraction. See Examples 5 and 6. y + 3 4 ———— - ———— y y - 1 —————————— y 1 ——— + —— y - 1 y47views
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 = ——————— 0.639x + 1.75 For example, when the river is at an altitude of 600 ft, x = 0.6 (thousand), and the distance from the origin is 7 - 0.6 Distance = ————————— ≈ 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?51views
Multiple ChoiceRationalize the denominator and simplify the radical expression.75−6\frac{\sqrt7}{5-\sqrt6}5−67 412views4rank
Multiple ChoiceRationalize the denominator and simplify the radical expression. 2−32+3\frac{2-\sqrt3}{2+\sqrt3}2+32−3285views