
Jancy A.
asked 03/08/16how do you solve 2sqrt3/6 by hand?
I have two Quantities A and B.
Quantity A is 2 radical 3 over 6
Quantity B is 1 over radical 3
using a graphing or scientific calculator I can solve this but I don't know how to do this by hand.
Please help
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1 Expert Answer
Edward C. answered 03/08/16
Tutor
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(438)
Caltech Grad for math tutoring: Algebra through Calculus
A = (2√3)/6 = √3/3
B = 1/√3
Multiply B by 1 in the form of √3/√3 to get B = (1/√3)*(√3/√3) = √3/√9 = √3/3
Since A and B are equal to the same value they are equal to each other
P.S. The technique for B is called rationalizing the denominator
Jancy A.
The way I was reading online was saying was with 2 radical 3 over 6 to multiply just the numerator with radical 3 which would then make it 2 times 3 over 6 which equals 6 over 6 which is 1 but then with 1 over radical 3 I'm multiplying the numerator and denominator by radical 3... which didn't make sense to me because I don't understand why I multiply one quantity with the numerator and denominator but the other quantity i just multiply the numerator.
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03/08/16

Edward C.
tutor
Well, if you want to get rid of the radicals altogether you can consider the quantities (√3)*A and (√3)*B. As you say (√3)*A is equal to 1, and (√3)*B is also equal to 1 since it is (√3)*(1/√3). Since (√3)*A = (√3)*B you can divide both sides by √3 to get A = B.
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03/08/16
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Michael P.
03/08/16