What is the square root of 1/3?

4 Answers
Mar 22, 2018

~~0.577

Explanation:

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

Mar 22, 2018

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).

Mar 22, 2018

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

Mar 22, 2018

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