(c)Product ruleMultiply.Add like radicals.(d)Product ruleMultiply.Add like radicals. NOW TRYOBJECTIVE 3 Simplify more complicated radical expressions.Simplifying Radical Expressions
Simplify. Assume that all variables represent nonnegative real numbers.(a)Product rule
Multiply.Factor; 25 is a perfect square.Product ruleAdd like radicals.(b)Factor.Product ruleAdd like radicals.(c)Factor.Product ruleMultiply.= 16 x 22 Add like radicals.= 15 x 22 +x 22= 3 x# 522 +x 22 225 =5; 2 x^2 =x
= 3 x 225 # 22 + 2 x^2 # 22
= 3 x 225 # 2 + 2 x^2 # 2
3 x 250 + 22 x^2= 523 k= 223 k+ 323 k 24 =2; 29 = 3= 24 # 23 k+ 29 # 23 k
= 24 # 3 k+ 29 # 3 k
212 k+ 227 k= 923
= 523 + 423 225 = 5
= 225 # 23 + 423
= 225 # 3 + 423
= 275 + 423
= 25 # 15 + 423
25 # 215 + 423
EXAMPLE 3= 11232
= 6232 + 5232
= (^3) A (^2232) B + 5232 238 = 2
= (^3) A 238 # (^232) B+ 5232
32316 + 5232
= 1923
= 423 + 1523
= 2 A 223 B + 3 A 523 B 24 =2; 225 = 5
= 2 A 24 # 23 B + 3 A 225 # 23 B
2212 + 3275
514 CHAPTER 8 Roots and Radicals
NOW TRY
EXERCISE 2
Add or subtract, as indicated.
(a)
(b)
(c) 8235 + 102340
3 48 - 2 75 2 + 18NOW TRY ANSWERS
- (a) (b)
(c) 28235
422 223Think:
14 + 15223Think:
115 x+ 1 x 222http://www.ebook777.com
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