1/square root of 3 = square root of 3/3

[xopher]

Can someone please help me understand how 1/[square root of 3] is equal to [square root of 3]/3?

Thank you very much

 

[stapel]

Can someone please help me understand how 1/[square root of 3] is equal to [square root of 3]/3?

If you were asked to show that 2/5 and 4/10 were equal, how would you proceed? How can this be expanded to prove the above equality?

 

[Explorer]

Can someone please help me understand how 1/[square root of 3] is equal to [square root of 3]/3?

Thank you very much

Take 1/sqrt(3), and multiply both numerator and denominator by sqrt(3), you get:

( 1 X sqrt3 ) / ( sqrt3 X sqrt3 ) = sqrt(3) / sqrt(3^2) = sqrt(3)/3