School AlgebraB. F. Johnson, 1903 - 432 páginas |
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Página 7
... SURDS 258 Reduction of Surds 259 Addition and Subtraction of Surds 262 Multiplication of Surds 264 Division of Surds 266 Radical Equations 270 PAGE IMAGINARY AND COMPLEX NUMBERS Multiplication of Imaginaries Division of CONTENTS 7.
... SURDS 258 Reduction of Surds 259 Addition and Subtraction of Surds 262 Multiplication of Surds 264 Division of Surds 266 Radical Equations 270 PAGE IMAGINARY AND COMPLEX NUMBERS Multiplication of Imaginaries Division of CONTENTS 7.
Página 257
... 24 a ̄ +16 a - 2 . а Find the cube root of each of the following expressions : 79. x3 - 3x2 +3 μ3 − 1 . 80 . -6 2 7x + x + 4x2 + 8 . 81. a3a + 3 a ̄1b ‡ — b2 . - RADICALS AND SURDS 299. A Rational Number is a number THEORY OF EXPONENTS 257.
... 24 a ̄ +16 a - 2 . а Find the cube root of each of the following expressions : 79. x3 - 3x2 +3 μ3 − 1 . 80 . -6 2 7x + x + 4x2 + 8 . 81. a3a + 3 a ̄1b ‡ — b2 . - RADICALS AND SURDS 299. A Rational Number is a number THEORY OF EXPONENTS 257.
Página 258
... Surds . Thus , √5 is a surd , since the square root of 5 is irrational ; but √2 + √2 is not a surd , since 2 + √2 is not a rational number . Observe that while every surd is an irrational number there are irra- tional numbers which ...
... Surds . Thus , √5 is a surd , since the square root of 5 is irrational ; but √2 + √2 is not a surd , since 2 + √2 is not a rational number . Observe that while every surd is an irrational number there are irra- tional numbers which ...
Página 259
... surd of the second order , V5 is a surd of the third order , and so on . 304. Surds composed of a rational and a surd factor are called Mixed Surds ; those which have no rational factor are called Pure Surds . Thus , √3 is a pure surd ...
... surd of the second order , V5 is a surd of the third order , and so on . 304. Surds composed of a rational and a surd factor are called Mixed Surds ; those which have no rational factor are called Pure Surds . Thus , √3 is a pure surd ...
Página 260
... surds can always be reduced to the form of pure surds . 1. Reduce 2√3 to the form of a pure surd . 2√3 = √2 × 3 = √12 . Reduce to the form of surds of the orders indicated : 2. 2 , 3d order . 5. m , 2d order . 8 . 3ab , 2d order . 3 ...
... surds can always be reduced to the form of pure surds . 1. Reduce 2√3 to the form of a pure surd . 2√3 = √2 × 3 = √12 . Reduce to the form of surds of the orders indicated : 2. 2 , 3d order . 5. m , 2d order . 8 . 3ab , 2d order . 3 ...
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Términos y frases comunes
a²b a²b² ab+b² ab² absolute value added arithmetical means arithmetical progression ax² bers binomial called cents CHECK coefficient Completing the square cube root difference digits Divide dividend division divisor equations containing equivalent Find the number Find the sum Find the value fractional exponents geometrical graphs Hence highest common factor identity integral logarithm mantissa means method miles an hour minuend monomial multiplied negative numbers nth root number of dollars number of terms numerator and denominator polynomial positive integer positive number problem quadratic equations quotient rational Reduce remainder result rods Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted subtrahend surd symbols Theorem twice unknown numbers x²y x²y² xy² zero
Pasajes populares
Página 85 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 74 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 412 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 205 - What fraction is that, whose numerator being doubled, and the denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes -jj-?
Página 357 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 355 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Página 74 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Página 68 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 241 - ... plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. This being the case, the cube of the tens...
Página 35 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.