Page:Elementary algebra (1896).djvu/244

226 Rh Ex. 3. Divide 2+3 —1 by 2+ —1.

279. The method of Art. 262 may be used in finding the square root of a+b —1.

Ex. Find the square root of —7 — 24 —1.

—7 — 24 —1= — 7-2 -144

We have now to find two quantities whose sum is — 7 and whose product is — 144; these are 9 and — 16;

hence —7 — 24 —1=9+(— 16)—2 \times 9 (— 16) =(9 — -16)2; —7 — 24 —1 = 3 -4 -1

EXAMPLES XXIV.

Simplify :

1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.

Express with rational denominator :

16. 17. 18. 19.

Find the square root of

20. —5+12-1. 21. —11—60-1. 22. -47 8 -8

Express in the form a+ib:

23. 24. 25.