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3√(3) - 9√(5) * 4√(3) + 12√(5); simplify radicals

by Ellen
(CA)











































The questions is : 3 radical sign 3 minus 9 radical sign 5 times 4 radical sign 3 plus 12 radical sign 5

Comments for 3√(3) - 9√(5) * 4√(3) + 12√(5); simplify radicals

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Aug 27, 2011
Radicals
by: Staff


The question:

by Ellen
(CA)

The questions is: 3 radical sign 3 minus 9 radical sign 5 times 4 radical sign 3 plus 12 radical sign 5


The answer:

3 radical sign 3 minus 9 radical sign 5 times 4 radical sign 3 plus 12 radical sign 5

= 3√(3) - 9√(5) * 4√(3) + 12√(5)

= 3√(3) - 9 * 4*√(5) * √(3) + 12√(5)

= 3√(3) - 36*√(5) * √(3) + 12√(5)

= 3√(3) - 36*√(5*3) + 12√(5)

= 3√(3) - 36√(15) + 12√(5)

= 3√(3) + 12√(5) - 36√(15)


= 3*1.73205 + 12*2.23607 - 36*3.87298


= 5.19615 + 26.8328 - 139.427
= -107.398

The final answer is: 3√(3) + 12√(5) - 36√(15), or -107.398


Thanks for writing.

Staff
www.solving-math-problems.com



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