Algebra for High Schools and Colleges; Containing a Systematic Exposition and Application of the Elementary and Higher Principles of the Science (Paperback)


This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1859 Excerpt: ...fractional exponent or radical sign. 2. Surds of different roots may be reduced to equivalent ones of the same root, (239), and then multiplied, or divided, as above. But 3. Any two roots of the same quantity may be multiplied into each other, by adding together their fractional exponents; or divided, the one into the other, by subtracting the exponent of the divisor from that of the dividend. EXAMPLE. To find the Product of 2-/10 X 3-v/2. Since it is immaterial in what order the four factors are taken, we may take them in the order; 2 X 3-/lO x V2 J which gives the Product 6-y/20, (234), = 12-/5, (237) The Quotient of 2-/l0-f-3-y/2 is %V5 since this quotient multiplied by the divisor produces the dividend. EXERCISES On the Multiplication and Division of Surds. 1. Find the Product of 5-/8 x 3 V&-Ans. 30-/lO. 2. Find the Quotient of 6-y/54-h3-y/2. Ans. 6 /3. 3. Find the Product of-/108 X 2-y/6. Ans. 36-v/2. 4. Find the Quotient of 2-/96-f--/54. Ans. 2. 5. Find the Product of 3-/5X4-v/20a. Ans. 120a-y/x. 6. Find the Quotient of 4-/l2ah-2-/6. Ans. 2-/2a. 7. Find the Product of-/to X 3-/aa;. Ans. 3aa;-/3 8. Find the Quotient of 6-/122-h3-y/4. Ans. 2-/3. 9. Find the Product of /l8 X 5-4. Ans. 109. 10. Find the Quotient of 472218. Ans. 23J 4. 11. Find the Product of 5-/a x 3-/a. By reducing the surds to the same root, we ohtain 5y and 3%/a?, (239). These are to be multiplied together as before. Ans. 15/a6. But the given roots of the same quantity a, may also be multiplied into each other, by adding together their fractional exponents and-fr. Thus, 5a?x3a"=15a?=l5/as, as before. Either of these two methods may be applied to roots of the same quantity. The first only is applicable to different roots of different quantities. 12. Find the Product of 3%/x X 2...

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1859 Excerpt: ...fractional exponent or radical sign. 2. Surds of different roots may be reduced to equivalent ones of the same root, (239), and then multiplied, or divided, as above. But 3. Any two roots of the same quantity may be multiplied into each other, by adding together their fractional exponents; or divided, the one into the other, by subtracting the exponent of the divisor from that of the dividend. EXAMPLE. To find the Product of 2-/10 X 3-v/2. Since it is immaterial in what order the four factors are taken, we may take them in the order; 2 X 3-/lO x V2 J which gives the Product 6-y/20, (234), = 12-/5, (237) The Quotient of 2-/l0-f-3-y/2 is %V5 since this quotient multiplied by the divisor produces the dividend. EXERCISES On the Multiplication and Division of Surds. 1. Find the Product of 5-/8 x 3 V&-Ans. 30-/lO. 2. Find the Quotient of 6-y/54-h3-y/2. Ans. 6 /3. 3. Find the Product of-/108 X 2-y/6. Ans. 36-v/2. 4. Find the Quotient of 2-/96-f--/54. Ans. 2. 5. Find the Product of 3-/5X4-v/20a. Ans. 120a-y/x. 6. Find the Quotient of 4-/l2ah-2-/6. Ans. 2-/2a. 7. Find the Product of-/to X 3-/aa;. Ans. 3aa;-/3 8. Find the Quotient of 6-/122-h3-y/4. Ans. 2-/3. 9. Find the Product of /l8 X 5-4. Ans. 109. 10. Find the Quotient of 472218. Ans. 23J 4. 11. Find the Product of 5-/a x 3-/a. By reducing the surds to the same root, we ohtain 5y and 3%/a?, (239). These are to be multiplied together as before. Ans. 15/a6. But the given roots of the same quantity a, may also be multiplied into each other, by adding together their fractional exponents and-fr. Thus, 5a?x3a"=15a?=l5/as, as before. Either of these two methods may be applied to roots of the same quantity. The first only is applicable to different roots of different quantities. 12. Find the Product of 3%/x X 2...

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Product Details

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Imprint

Rarebooksclub.com

Country of origin

United States

Release date

March 2012

Availability

Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.

First published

March 2012

Authors

Dimensions

246 x 189 x 4mm (L x W x T)

Format

Paperback - Trade

Pages

82

ISBN-13

978-1-130-21018-7

Barcode

9781130210187

Categories

LSN

1-130-21018-9



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