Unformatted text preview: 5. (E) The terms cannot be combined and it is not possible to take the square root of separated terms. (D) (A)
100 x 2  64 x 2 36 x 2 6 x 3x = = = 6400 6400 80 40 18 y 2  2 y 2 16 y 2 4 y 2 y = = = 36 36 6 3 1 1 1 1 1 12 + ⋅ 2 = 4⋅ 3+ = 3+ 2 4 2 2 2 4. (C) Dividing the numbers in the radical sign,
4 b 2 = 2b we have 5. (D) 3 48 = 3 16 ⋅ 3 = 12 3 (E) It is not possible to find the square root of separate terms. www.petersons.com 154 Chapter 10 Exercise 4
1. 2. 3. 4. (C) Since the last digit is 9, the square root must end in 3 or 7. (A) Every pair of digits in the given number gives one digit of the square root. (E) Since the number ends in 1, its square root must end in 1 or 9. (B) Since the number has four digits to the right of the decimal point, its square root will have two digits to the right of the decimal point. (C) In order to take the square root of a decimal, it must have an even number of decimal places so that its square root will have exactly half as many. In addition to this, the digits must form a perfect square ( .09 = .3) . Retest
1. (C)
2 8 =2 4⋅ 2 =4 2 4 50 = 4 25 ⋅ 2 = 20 2 3 18 = 3 9 ⋅ 2 = 9 2 4 2 + 20 2 + 9 2 = 33 2
1 1 180 = 36 ⋅ 5 = 3 5 2 2 2 2 4 20 = 4⋅ 5= 5 5 5 5 4 11 3 5− 5= 5 5 5
a 2 x ⋅ x 6 x = ax 12 x 2 = 2ax 2 3 2. (D) 3. 4. (A) (C) 5. 42 40r 3t 6 3 5rt
2 = 14 8r 2 t 4 14 8r 2 t 4 = 28rt 2 2 5. (A)
3 = .3 x 3 = .3 x x = 10 .09 = .3 Multiply by x. 6. 7. 8. 9. (D) 2a 2 a 2 = b b2 (E) Since the last digit is 6, the square root must end in 4 or 6. (C) A fivedigit number has a threedigit square root. (B)
2 3 ⋅ 2 3 ⋅ 2 3 ⋅ 2 3 ⋅ 2 3 = 32(9 3 ) = 288 3 10. (C) 25m 4 5m 2 = 32 8 64 16 36c d 6c d www.petersons.com Factoring and Algebraic Fractions 11
4. Find an expression equivalent to y . (A) (B) (C) (D) (E)
27 x 5 3y 9x6 DIAGNOSTIC TEST
Directions: Work out each problem. Circle the letter that appears before your answer. Answers are at the end of the chapter. 1. Find the sum of (A) (B) (C) (D) (E) 2.
2n 2 7 3n 7 11n 12 2n 2 12 9n 12 n 2n and . 4 3 3x 2 3 y3 9x5 y3 27 x 5 y3 27 x 6 y3 Combine int...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at EmbryRiddle FL/AZ.
 Spring '10
 Colon
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