Intermediate Algebra
Intermediate Algebra
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In our eReader you can find the full English version of the book. Read Intermediate Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Intermediate Algebra
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Example 2. Find the square root of 8 — V60.
Solution. 8 — VeO = 8 — 2\/l6. The two integers whose sum is 8 and whose product is 15 are 5 and 3.
Hence, Vs - 2 \/15 = V5 - V3.
Check. ( V5 - V3)2 = 5 + 3 - 2 Vl5 = 8 - >/60.
WRITTEN EXERCISES Find the square root of each of the following : 1. 3-2V2. 7. 9-6V2. 13. Ll-h6V2.
2. 7+V40. 8. 10-4V6. 14. 11-4V6.
3. 8-V(30. 9. 9 + 4V5. 15. 11+4V7.
4. 7 + 4V3. 10. 9 4-2V14. 16. 11-2V30.
5. 24-6V7. 11. 12-2V35. 17. 10 + 2 V2i.
6. 28 + 3V12. 12. 12-8V2. 18. 13...-2V22.
150 EXPONENTS AND RADICALS PROBLEMS INVOLVING RADICALS 202. By means of radicals and roots we are now able to solve equations of the type x^ = a.
Example 1. Solve the equation x^ — 32.
Solution. Taking square roots, x = ± V32 = ± 4 V2. If it is desired to express this root in decimals, we approximate the square root of 2 and multiply the result by 4.
Example 2. Solve a;^ = 6 + 2 V5.
Solution. By §201, a; =V6-f 2 V5 = ±(V5 + 1).
In case such an equation arises in a concrete problem, we must decide by direct application to the problem which of the two roots gives the required solution.
What to read after Intermediate Algebra?
You can find similar books in the "Read Also" column, or choose other free books by H E Herbert Ellsworth Slaught to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Example 2. Find the square root of 8 — V60.
Solution. 8 — VeO = 8 — 2\/l6. The two integers whose sum is 8 and whose product is 15 are 5 and 3.
Hence, Vs - 2 \/15 = V5 - V3.
Check. ( V5 - V3)2 = 5 + 3 - 2 Vl5 = 8 - >/60.
WRITTEN EXERCISES Find the square root of each of the following : 1. 3-2V2. 7. 9-6V2. 13. Ll-h6V2.
2. 7+V40. 8. 10-4V6. 14. 11-4V6.
3. 8-V(30. 9. 9 + 4V5. 15. 11+4V7.
4. 7 + 4V3. 10. 9 4-2V14. 16. 11-2V30.
5. 24-6V7. 11. 12-2V35. 17. 10 + 2 V2i.
6. 28 + 3V12. 12. 12-8V2. 18. 13...-2V22.
150 EXPONENTS AND RADICALS PROBLEMS INVOLVING RADICALS 202. By means of radicals and roots we are now able to solve equations of the type x^ = a.
Example 1. Solve the equation x^ — 32.
Solution. Taking square roots, x = ± V32 = ± 4 V2. If it is desired to express this root in decimals, we approximate the square root of 2 and multiply the result by 4.
Example 2. Solve a;^ = 6 + 2 V5.
Solution. By §201, a; =V6-f 2 V5 = ±(V5 + 1).
In case such an equation arises in a concrete problem, we must decide by direct application to the problem which of the two roots gives the required solution.
What to read after Intermediate Algebra?
You can find similar books in the "Read Also" column, or choose other free books by H E Herbert Ellsworth Slaught to read onlineMoreLess
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