Question

What is the square root of 1/3?

Answer 1

`~~0.577`

Explanation:

`sqrt(1/3)=1/sqrt(3)~~0.577`

Answer 2

The square root of `1/3` is an irrational number that can be written as `color(blue)(1/sqrt(3))`

Explanation:

You could use a calculator to find the approximate value of this, namely `0.5773502692` (but since `1/sqrt(3)` is irrational, this is not exact).

Answer 3

The square root of `1/3` is `sqrt(3)/3` `~~0.577`.

Explanation:

When you square root a fraction, you square root both the numerator and the denominator.
`sqrt(1/3)`
`=(sqrt(1))/(sqrt(3))`
`=1/(sqrt(3))`
`=(sqrt(3))/3`

Answer 4

See below

Explanation:

If you want to find `sqrt(1/3)` yu must use the power laws.

`sqrt(1/3)=sqrt1/sqrt3=1/sqrt3`. We have to rationalize this fraction (remove square roots in denominator)

Multipliying by `sqrt3` in numerator and denominator, we have

`1/sqrt3=(1·sqrt3) /(sqrt3·sqrt3)=sqrt3/3`