Elements of Algebra Tr From the French of M Bourdon
Elements of Algebra Tr From the French of M Bourdon
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In our eReader you can find the full English version of the book. Read Elements of Algebra Tr From the French of M Bourdon Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Algebra Tr From the French of M Bourdon
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177 to this example, we multiply 23 by 100 8, or annex twelve ciphers to 23, extract the sixth root of the number thus formed to within unity, and divide this root by 100, or point off two decimals on the right.
In this way we will find that V23=l, 68, to within 0, 01.
EXAMPLES.
1. Find the V473 to within ^\. Ans. 7f.
2. Find the V79 to within, 0001. Ans. 4, 2908.
3. Find the Vl3 to within, 01. Ans. 1, 53.
4. Find the V3, 00415 to within, 0001. Ans. 1, 4429.
5. Find the Vo^OOlOl to within, 01. ...Ans. 0, 10.
6. Find the VJf to within, 001. Ans. 0, 824.
EXTRACTION OF ROOTS. 213 Formation of Powers and Extraction of Roots of Algebraic Quantities. Calculus of Radicals.
We will first consider monomials.
182. Let it be required to form the fifth power of 2a?b 2 . We have (2a 3 b 2 ) 5 = 2a 3 b 2 x 2a 3 b 2 x 2a 3 b 2 x 2a 3 £ 2 x 2a 3 * 2, from which it follows, 1st. That the co-efficient 2 must be multi- plied by itself four times, or raised to the fifth power. 2d. That each of the exponents of the letters must be added to itself four times, or multiplied by 5.
What to read after Elements of Algebra Tr From the French of M Bourdon?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
177 to this example, we multiply 23 by 100 8, or annex twelve ciphers to 23, extract the sixth root of the number thus formed to within unity, and divide this root by 100, or point off two decimals on the right.
In this way we will find that V23=l, 68, to within 0, 01.
EXAMPLES.
1. Find the V473 to within ^\. Ans. 7f.
2. Find the V79 to within, 0001. Ans. 4, 2908.
3. Find the Vl3 to within, 01. Ans. 1, 53.
4. Find the V3, 00415 to within, 0001. Ans. 1, 4429.
5. Find the Vo^OOlOl to within, 01. ...Ans. 0, 10.
6. Find the VJf to within, 001. Ans. 0, 824.
EXTRACTION OF ROOTS. 213 Formation of Powers and Extraction of Roots of Algebraic Quantities. Calculus of Radicals.
We will first consider monomials.
182. Let it be required to form the fifth power of 2a?b 2 . We have (2a 3 b 2 ) 5 = 2a 3 b 2 x 2a 3 b 2 x 2a 3 b 2 x 2a 3 £ 2 x 2a 3 * 2, from which it follows, 1st. That the co-efficient 2 must be multi- plied by itself four times, or raised to the fifth power. 2d. That each of the exponents of the letters must be added to itself four times, or multiplied by 5.
What to read after Elements of Algebra Tr From the French of M Bourdon?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
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