First Principles of Algebra Complete Course

Cover First Principles of Algebra Complete Course
First Principles of Algebra Complete Course
H E Herbert Ellsworth Slaught
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^3 3(-v^-2) ^ V^ + l 14. V^^^V^±I. ■Vx — 1 V^ + 2 Va; — 4 Va; — 3 15. I +— j: = -i_. Ig 2-V^ ^ 3+V^ Va; + 1 Va;-1 »-l * 1+V« 3-Vi* Suggestions. In Ex. 13 clear of fractions first; in 14 square both members and then clear of fractions ; in 15 rationalize denominators. REyiEW QUESTIONS 1. State Principle XVIII. Show by use of this principle how to find V28 having given V7 = 2. 696. 2. Show how the value of the following may be approxi- mated by finding only one square root. 5V20 + 2V45 - 3V80 +2V...5. 3. Write the square of a + 6 + c + d in such a form as to derive from it the rule for finding the square root of a polynomial. 4. When is a radical expression said to be simplified ? How is Principle XVIII used for this purpose ? 5. Give examples of rational expressions, of surds, of quad- ratic surds. When is an expression said to be rationalized ? 6. What principle is used in multiplying two quadratic surds ? Find the product (1 + V2)(2+ 3 V2). 7. How is division by a quadratic surd carried out?

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