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" Since the square or second power of a fraction is obtained by squaring the numerator and denominator separately, it follows that the square root of a fraction will be equal to the square root of the numerator divided by the square root of the denominator. "
Elementary Algebra: Embracing the First Principles of the Science - Page 163
by Charles Davies - 1861 - 303 pages
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Pleasure with Profit: Consisting of Recreations of Divers Kinds, Viz ...

William Leybourn - Algebra - 1694 - 422 pages
...__— _ Therefore i of УА-/Ц-«, or У/^-Ц/ divided by 4, returns to what »was, v« т№~> w the Square Root of the Numerator divided by the Square Root of the Denominator. Thus У4— v* * , .; Remainder. Ha To mow the Nicelfity and great Ufe of the third and fourth preceding...
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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...assume Yc=— , or the root of an imperfect power canExtraction of the square root of Fractions. 119. Since the square or second power of a fraction is...numerator divided by the square root of the denominator. a3 a For example, the square root of 75- is equal to — : for But if neither the numerator nor the...
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Elements of Algebra

Algebra - 1838 - 372 pages
...expressed by a fractional number that is rational. Extraction of the square root of Fractions. 119. Since the square or second power of a fraction is...numerator divided by the square root of the denominator. a? a For example, the square root of — is equal to -r- : for aaa? But if neither the numerator nor...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 264 pages
...square root of 48303584206084 ? Ans. 6950078. • Extraction of the square root of Fractions. 1OO. Since the square or second power of a fraction is...denominator. For example, the square root of — is equal to -j- : for aa a2 TxT = W 1 . What is the square root of — ? Ans. — . 9 3 2. What is the square root...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...the square root of 48303584206084 ? Ans. 6950078. Extraction of the square root of Fractions. 1 OO. Since the square or second power of a fraction is...numerator divided by the square root of the denominator. #2 Q For example, the square root of — is equal to — : for 1 . What is the square root of — ?...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...the square root of 48303584206084 ? Ans. 6950078. Extraction of the square root of Fractions. 1 OO. Since the square or second power of a fraction is...denominator. For example, the square root of — is equal to — : for aa a2 1 . What is the square root of — ? Ans. — . 9 3 2. What is the square root of —...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...I'. EXTRACTION OP THE SQUARE ROOT OF FRACTIONS. 117 Extraction of the square root of Fractions. 119. Since the square or second power of a fraction is...of the denominator. For example, the square root of 75- is equal to -r : for a 3 a But if neither the numerator nor the denominator is a perfect square,...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...imperfect square by a fractional number. / Extraction of the Square Root of Fractions. 119. Since the second power of a fraction is obtained by squaring...numerator divided by the square root of the denominator. a2 a For example, y — = — , But if the numerator and the denominator are not both perfect squares,...
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Elements of Algebra: Including Sturm's Theorem

Algebra - 1847 - 386 pages
...imperfect square by a fractional number. Extraction of the Square Root of Fractions. 119. Since the second power of a fraction is obtained by squaring...by the square root of the denominator. For example, y — = — , aaa* since -r X -r- = -7^. But if the numerator and the denominator are not both perfect...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1848 - 300 pages
...the square root of 48303584206084 ? Ans. 6950078. Extraction of the square root of Fractions. 1 0O. Since the square or second power of a fraction is...numerator divided by the square root of the denominator. fl Ok For example, the square root of — is equal to -7- : for 1 . What is the square root of —...
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