A School Algebra

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The radical sign is commonly followed by a vin- culum extended over the expression whose root is indicated.
Examples. In Va-^-h -\- x the root applies to a only. In i/a -{- b -\-c the root indicated is that of a -\- h. In Va-\- b -\- c the root indicated is that oi a -\- b -{- r. But we may use parentheses in place of the vin- culum, writing |/(a -{-h) -\- c^ \/{a -\-h -\-c\ etc.
EXERCISES.
What are the values of the following expressions?
1. I/7 + 9. Ans. 4. 2. 1^20 + 5. 3. I/(3'+ 4'^).
4. |/(
...l7 4-8'). 5. Ve . 15 . 1^. 6. Va\ 7. X^ia'-^-^ab-^b'), 8. Vs! 9- Vl^'+^'+S).
10. V81. 11. WW^^^ 12. Vl4^- 13^ 17^ POWERS ANt) MOOTS, 19*7. Division of Exponents. Let us extract the square root of a\ We must find such a quantity as, being multiplied by itself, will produce a\ It is evident that the required quan- tity is a^f because, by the rule for involution (§191), n Tlie square root of dP- will be d\ because j n M !! + ?!
n In the same way, the cube root of cC" is a^, because n n n a'X a'x (("'= (("".


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