Jancy A.

asked • 03/08/16

how 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

Michael P.

Jancy, for what are you asked to solve?
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03/08/16

Jancy A.

Its to prove whether quantity a and b are equal or one is greater than the other. I know the correct answer is their equal but I have no idea how to solve it without a calculator
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03/08/16

1 Expert Answer

By:

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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