Question

What is the fraction form of square root of 2/3?

Answer 1

The answer is
`( √(6) )/(3)` .

We start from the square root of 2/3:
`\sqrt{ (2)/(3)}`
Then we must find how much times we must multiply both numerator and denominator to get the square root of denominator as an integer:


`\sqrt{ (2)/(3) }= \sqrt{ (2*3)/(3*3) } = \sqrt{ (6)/(9) } = ( √(6) )/( √(9) )= ( √(6) )/(3)`