An Elementary Treatise on Algebra: To which are Added Exponential Equations and Logarithms |
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Page 126
... Find the 3d root of 1003-003001 . 9. Find the 3d root of 0.756058031 . 10. Find the 3d root of 0 · 000003442951 . 11 ... square root , we have u = U 2x , m = a2 , M = 2 a ; and , since the square of a + h is The Square Root of Numbers ...
... Find the 3d root of 1003-003001 . 9. Find the 3d root of 0.756058031 . 10. Find the 3d root of 0 · 000003442951 . 11 ... square root , we have u = U 2x , m = a2 , M = 2 a ; and , since the square of a + h is The Square Root of Numbers ...
Page 127
... square root . To extract the square root of a number , divide it into periods of two figures each , beginning with the place of units . Find the greatest square contained in the left hand period , and its root is the left hand figure of ...
... square root . To extract the square root of a number , divide it into periods of two figures each , beginning with the place of units . Find the greatest square contained in the left hand period , and its root is the left hand figure of ...
Page 128
... Find the square root of 28111204 . Solution . The operation is as follows : 281112045302 = Ans . 25 1st Rem . 311 | 103 1st Divisor . 309 2d Rem . 3d Rem . 212106 2d Divisor . 21204 10602 3d Divisor . 21204 4th Rem . 0 . . 2. Find the ...
... Find the square root of 28111204 . Solution . The operation is as follows : 281112045302 = Ans . 25 1st Rem . 311 | 103 1st Divisor . 309 2d Rem . 3d Rem . 212106 2d Divisor . 21204 10602 3d Divisor . 21204 4th Rem . 0 . . 2. Find the ...
Page 129
... Find the square root of to 4 places of decimals . Ans . 0.2425+ . 2. Find the square root of to 3 places of decimals . Ans . 0 · 645 + . 3. Find the square root of 1 to 2 places of decimals . Ans . 1.32+ . 4. Find the square root of 111 ...
... Find the square root of to 4 places of decimals . Ans . 0.2425+ . 2. Find the square root of to 3 places of decimals . Ans . 0 · 645 + . 3. Find the square root of 1 to 2 places of decimals . Ans . 1.32+ . 4. Find the square root of 111 ...
Page 132
... Find the mth root of a - mn . Ans . an . Ans . a- " . 3. Find the square root of 9 a4 b2 ƒ − 12 g − 8 n ̧ Ans . ± 3a2bf − 6 g − 4n . 4. Find the 4th root of a8 620 c4 16d12216 a2 b5 c Ans . ± 4d324 5. Find the 9th root of , -236 a45 ...
... Find the mth root of a - mn . Ans . an . Ans . a- " . 3. Find the square root of 9 a4 b2 ƒ − 12 g − 8 n ̧ Ans . ± 3a2bf − 6 g − 4n . 4. Find the 4th root of a8 620 c4 16d12216 a2 b5 c Ans . ± 4d324 5. Find the 9th root of , -236 a45 ...
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126 become zero 3d root arithmetical progression coefficient commensurable roots common difference contained continued fraction continued product Corollary deficient terms denote derivative Divide dividend division equal roots equal to zero equation x² factor Find the 3d Find the 4th Find the continued Find the greatest Find the number Find the square Find the sum Free the equation Geometrical Progression given equation given number gives greatest common divisor Hence imaginary roots last term least common multiple letter logarithm monomials multiplied number of real number of terms polynomial positive roots preceding article Problem quantities in example quotient radical quantities ratio real roots reduced remainder required equation required number row of signs Scholium Second Degree Solution Solve the equation square root Sturm's Theorem subtracted Theorem unity unknown quan unknown quantity variable whence