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An Elementary Algebra

An Elementary Algebra


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1873 edition. Excerpt: ...coefficient, and multiply the exponents of the letters by 3; hence, to find the cube root of the given monomial we reverse the process; that is, we extract the cube root of its coefficient, and divide the exponents of the letters by 3. The cube root thus found is 5a3z. 2. Find the square root of 36er6 Solution. Since finding the m_ x Jtf _ square root of a quantity is the reverse of squaring the root, we extract the square root of the coefficient of the given quantity, and divide the exponents of its letters by 2. The square root thus found, which may be either positive or negative (Art. 244, 2), is 6ab 3. Find the fourth root of 81afy. Ans. 3x'y. 246. Rule for Evolution of Monomials.--Extract the required root of the numerical coefficient, divide the exponent of each letter by the number denoting the index of the required root, and give the proper sign to the result. The root of a fraction is found by taking the root of the numerator and of the denominator. CASE II. Square Root of Polynomials. 247.--Ex. 1. Find the square root of a2 + 2i6 + 62. Solution. From the nature of the a2 + 2ab + ba + 6 square of a polynomial (Art. 239, Prin. 2), i' the first term of the given square will be 2a ) 2ab r b2 the square of the lirst term of the required 2a b)b = 2ab + b'l root. The first term of the square is a2, and its square root is a, which we write as the lirst term of the root. Subtracting a' from the whole expression, we have left '2ub + bl, which must be two times the product of the two terms of the root plus the square of the last term of the root (Art. 239, Prin. 2). Dividing 2ab, the first term of the dividend, by 2a, which is double the first term of the root, we obtain b, the other, or second, term of the root. Adding...


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Product Details
  • ISBN-13: 9781235873164
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 46
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1235873161
  • Publisher Date: 01 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 100 gr

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