522 a 5 6 12 b 4 42 189 Answer a 30 2 b 4 62523 a 3 23 2 7 18 x x b 3 3 2 3

522 a 5 6 12 b 4 42 189 answer a 30 2 b 4 62523 a 3

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522. (a) 5 6 12 (b) 4 4 2 18 9 Answer: (a) 30 2 ) (b) 4 6 2 523. (a) 3 2 3 2 7 18 x x (b) 3 3 2 3 6 20 2 16 a a Use Polynomial Multiplication to Multiply Radical Expressions In the following exercises, multiply. 524. (a) 11 8 4 11 (b) 3 3 3 3 9 18 Answer: (a) 44 8 11 (b) 3 3 3 2
OpenStax 8.8 Use the Complex Number System This file is copyright 2017, Rice University. All Rights Reserved. 525. (a) 3 2 7 5 4 7 (b) 3 3 5 3 x x 526. 2 7 5 11 4 7 9 11 Answer: 439 2 77 527. (a) 2 4 11 (b) 2 3 2 5 528. 7 10 7 10 Answer: 39 529. 3 3 3 2 3 2 x x 8.5 Divide Radical Expressions Divide Square Roots In the following exercises, simplify. 530. (a) 48 75 (b) 3 3 81 24 Answer: (a) 4 5 (b) 3 2 531. (a) 5 7 3 320 45 mn m n (b) 3 4 2 3 2 4 16 54 x y x y Rationalize a One Term Denominator In the following exercises, rationalize the denominator. 532. (a) 8 3 (b) 7 40 (c) 8 2 y Answer: (a) 8 3 3 (b) 70 20 (c) 4 2 y y 533. (a) 3 1 11 (b) 3 7 54 (c) 3 2 3 3 x
OpenStax 8.8 Use the Complex Number System This file is copyright 2017, Rice University. All Rights Reserved. 534. (a) 4 1 4 (b) 4 9 32 (c) 4 3 6 9 x Answer: (a) 4 64 4 (b) 4 72 4 (c) 4 2 9 x x Rationalize a Two Term Denominator In the following exercises, simplify. 535. 7 2 6 536. 5 7 n Answer: 5 7 7 n n 537. 8 8 x x 8.6 Solve Radical Equations Solve Radical Equations In the following exercises, solve. 538. 4 3 7 x Answer: 13 x 539. 5 1 3 x   540. 3 4 1 3 x Answer: 7 x 541. 3 3 u u 542. 3 4 5 2 5 x   Answer: 8 x   543. 1 3 8 5 2 1 x  
OpenStax 8.8 Use the Complex Number System This file is copyright 2017, Rice University. All Rights Reserved. 544. 4 2 0 y y Answer: 5 y 545. 2 8 1 8 2 r Solve Radical Equations with Two Radicals In the following exercises, solve. 546. 10 2 4 16 c c Answer: 3 c 547. 3 3 2 2 2 9 18 3 2 x x x x 548. 6 8 r r Answer: no solution 549. 1 2 1 x x Use Radicals in Applications In the following exercises, solve. Round approximations to one decimal place. 550. Landscaping Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of 75 square feet. Use the formula s A to find the length of each side of his garden. Round your answer to the nearest tenth of a foot. Answer: 8.7 feet 551. Accident investigation An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 175 feet. Use the formula 24 s d to find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth. 8.7 Radical Functions Evaluate a Radical Function In the following exercises, evaluate each function. 552.   6 1, g x x find (a)   4 g (b)   8 . g Answer: (a) (4) 5 g (b) (8) 7 g 553.   5 1, G x x find (a)   5 G (b)   2 . G
OpenStax 8.8 Use the Complex Number System This file is copyright 2017, Rice University. All Rights Reserved.

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