What is the square root of 1/3?

4 Answers
Mar 22, 2018

Answer:

#~~0.577#

Explanation:

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

Mar 22, 2018

Answer:

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

Answer:

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

Answer:

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#