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" Extract the square roots of the first and last terms, and connect these square roots by the sign of the middle term. "
The First Steps in Algebra - Page 79
by George Albert Wentworth - 1894 - 184 pages
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...the rules of Arts. 104 and 105, we have the following rule for obtaining one of the equal factors : Extract the square roots of the first and last terms, and connect the results by the sign of the second term. 1. Factor a2 + 2 ab + b2. The square root of the first...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...find the square root of a perfect trinomial square, we take the converse of the rules of Art. 95 : Extract the square roots of the first and last terms, and connect the results by the sign of the second term. Thus, let it be required to find the square root of The...
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A Complete Course in Algebra

Webster Wells - 1885 - 368 pages
...find the square root of a perfect trinomial square, we take the converse of the rules of Art. 95 : Extract the square roots of the first and last terms, and connect the results by the sign of the second term. Thus, let it be required to find the square root of The...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 324 pages
...find the square root of a perfect trinomial square, we take the converse of the rules of Art. 95 : Extract the square roots of the first and last terms, and connect the results by the sign of the second term. Thus, let it be required to find the square root of The...
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A Short Course in Higher Algebra: For Academies, High Schools, and Colleges

Webster Wells - Algebra - 1889 - 584 pages
...find the square root of a perfect trinomial square, We take the converse of the rules of Art. 95 : Extract the square roots of the first, and last terms, and connect the results by the sign of the second term. Thus, let it be required to find the square root of The...
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A School Algebra

George Albert Wentworth - Algebra - 1890 - 376 pages
...for extracting the square root of a perfect square, when the square is a trinomial, is as follows : Extract the square roots of the first and last terms,...term. Thus, if we wish to find the square root of i we take the square roots of 16 a* and 9J2, which are 4 a and 3 b, respectively, and connect these...
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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 550 pages
...for extracting the square root of a perfect square, when the square is a trinomial, is as follows : Extract the square roots of the first and last terms,...the square root of we take the square roots of 16 a2 and 962, which are 4 a and 36, respectively, and connect these square roots by the sign of the middle...
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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 544 pages
...find the square root of we take the square roots of 16 a2 and 962, which are 4 a and 36, respectively, and connect these square roots by the sign of the middle term, which is — . The square root is therefore CASE III. 100. When a Trinomial is a Perfect Square. ....
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A School Algebra

George Albert Wentworth - Algebra - 1891 - 380 pages
...the square root of we take the square roots of 16 a2 and 9¿2, which are 4œ and 3b, respectively, and connect these square roots by the sign of the middle term, which is — . The square root is therefore , 0 , 4a — oo. In like manner, the square root of CASE...
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The Elements of Algebra

George W. Lilley - Algebra - 1892 - 420 pages
...Square. Arrange the trinomial according to the powers of one letter. For one of the equal factors, find the square roots of the first and last terms, and connect these roots by the sign of the second term. Exercise 47. Factor the following : 1. »a4 + w4 + 2 m2 n2 ;...
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