How do you simplify $5sqrt(1/3)$ ?

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Answer 1 · 2016-02-22T11:35:36

So $5 sqrt(1/3)" "=" "(5sqrt(3))/3$

I am not convinced this is a simplified version!

$5 sqrt(1/3)" " =" " 5 (sqrt(1))/sqrt(3)$

But $sqrt(1)=1" technically it is " +-1$

$5/sqrt(3)" "..................................(1)$

It is common mathematical practise to try and not have any roots in the denominator. If possible!

Note that if we have $sqrt(3)/(sqrt(3)$ it is the same value as 1

Multiply expression (1) by the value of 1 but in the form of $" "sqrt(3)/sqrt(3)$

$5/sqrt(3) xx sqrt(3)/sqrt(3)" "=" "(5sqrt(3))/3" ".........................(1_a)$

So $5 sqrt(1/3)" "=" "(5sqrt(3))/3$

How do you simplify 5sqrt(1/3)5sqrt(1/3)?