INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

Start learning today, and be successful in your academic & professional career. Start Today!

• ## Related Books

 1 answerLast reply by: Dr Carleen EatonSun Jan 27, 2013 1:18 PMPost by nikolin leskaj on January 27, 20131:20min distributive property a(b+c)=ab+cd , should be a(b+c)=ab+ac

• To multiply one radical expression by another one, use the same techniques you have learned for multiplying one polynomial by another one.

Simplify:
3√7 + 8√5 − 9√7 − 6√5
• ( 3√7 − 9√7 ) + ( 8√5 − 6√5 )
− 6√7 + 2√5
Simplify:
4√{11} − 20√3 − 16√{11} − 5√3
• ( 4√{11} − 16√{11} ) + ( 20√3 − 5√3 )
− 12√{11} − 25√3
Simplify:
64√{17} − 12√2 − 23√2 + 15√{17}
• ( 64√{17} − 15√{17} ) + ( 12√2 − 23√2 )
79√{17} − 35√2
Simplify:
3√{12x} + 4√{27x} − 5√{3x} + 6√{75x}
• 3√4 ×√{3x} + 4√9 ×√{3x} − 5√1 ×√{3x} + 6√{25} ×√{3x}
• 3 ×2√{3x} + 4 ×3√{3x} − 5 ×1√{3x} + 6 ×5√{3x}
• 6√{3x} + 12√{3x} − 5√{3x} + 30√{3x}
43√{3x}
Simplify:
7√{32y} − 8√{72y} + 4√{98y} + 6√{200y}
• 7√{16} ×√{2y} − 8√{36} ×√{2y} + 4√{49} ×√{2y} + 6√{100} ×√{2y}
• 7 ×4√{2y} − 8 ×6√{2y} + 4 ×7√{2y} + 6 ×10√{2y}
• 28√{2y} − 48√{2y} + 28√{2y} + 60√{2y}
68√{2y}
Simplify:
5√{196n} − 3√{256n} − 2√{324n} + 8√{36n}
• 5√{49} ×√{4n} − 3√{64} ×√{4n} − 2√{81} ×√{4n} + 8√9 ×√{4n}
• 5 ×7√{4n} − 3 ×8√{4n} − 2 ×9√{4n} + 8 ×3√{4n}
17√{4n}
Simplify:
( 4√3 − 6√5 )2
• ( a − 6 )2 = a2 − 2ab + b2
• ( 4√3 )2 − 2( 4√3 )( 6√5 ) + ( 6√5 )2
• 16 ×3 − ( 2 )( 4 )( 6 )√3 √5 + 36 ×5
• 48 − 48√{3 ×5} + 180
228 − 48√{15}
Simplify:
( 2√7 − 3√{11} )2
• ( 2√7 )2 − 2( 2√7 )( 3√{11} ) + ( 3√{11} )2
• 4 ×7 − 2( 2 )( 3 )√7 √{11} + 9 ×11
• 28 − 12√{7 ×11} + 99
127 − 12√{77}
Simplify:
( 2√{10} − 4√{12} )( 3√{15} − 5√5 )
• ( 2√{10} )( 3√{15} ) + ( 2√{10} )( − 5√5 ) + ( − 4√{12} )( 3√{15} ) + ( − 4√{12} )( − 5√5 )
• 6√{10} √{15} − 10√{10} √5 − 12√{12} √{15} + 20√{12} √5
• 6√{150} − 10√{50} − 12√{180} + 20√{60}
• 6√{25 ×6} − 10√{25 ×2} − 12√{9 ×4 ×5} + 20√{4 ×15}
• 6 ×5√6 − 10 ×5√2 − 12 ×3 ×2√5 + 20 ×2√{15}
30√6 − 50√2 − 72√5 + 40√{15}
Simplify:
( 6√{40} + 7√{24} )( 10√{18} − 12√{30} )
• ( 6√{40} )( 10√{18} ) + ( 6√{40} )( − 12√{30} ) + ( 7√{24} )( 10√{18} + ) + ( 7√{24} )( − 12√{30} )
• 60√{720} − 72√{1200} + 70√{432} − 84√{720}
• 60√{9 ×16 ×5} − 72√{100 ×4 ×3} + 70√{16 ×9 ×3} − 84√{9 ×16 ×5}
• 60 ×3 ×4√5 − 72 ×10 ×2√3 + 70 ×4 ×3√3 − 84 ×3 ×4√5
• 720√5 − 1440√3 + 840√3 − 1008√5
− 288√5 − 600√3

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.