How do you rationalize the denominator and simplify $sqrt(2/3)$ ?

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Answer 1 · 2016-05-09T12:45:30

$sqrt(6)/3$

It is mathematically frowned up to have a root in the denominator. So it is better to 'get rid' of it if you can.

This is done using the following 'trick'!

If you multiply a value by 1 you do not change its 'worth'

$2xx1=2$ and so on

The value 1 can be written in many forms: $4-3; 0+2; 2/2 ; sqrt(3)/sqrt(3)$
'~~~~~~~~~~~~~~~~~~~~~~~~~
Given $" "sqrt(2/3)$

Write as: $" "sqrt(2)/(sqrt(3))$

Multiply by 1 but in the form of $1=sqrt(3)/sqrt(3)$ giving

$" "sqrt(2)/(sqrt(3))xxsqrt(3)/(sqrt(3))$

$" "(sqrt(2)xxsqrt(3))/(sqrt(3))^2$

$sqrt(2xx3)/3 = sqrt(6)/3$

How do you rationalize the denominator and simplify sqrt(2/3)sqrt(2/3)?