How do you simplify #sqrt4/(5sqrt3)#?

1 Answer
Mar 20, 2018

Answer:

# #
#{2sqrt3}/15#
# #

Explanation:

# #

Simplify the numerator as:

#=2/{5sqrt3}#

We need to rationalize the denominator, so multiply the numerator and the denominator of the expression with conjugate of the radical:

#={2\timessqrt{3}}/{5\times sqrt3\times sqrt 3}#

Simplify the denominator to get:

#={2sqrt{3}}/{5\times3}#

#={2sqrt3}/15#

# #

That't it!