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

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Answer 1 · 2018-03-20T01:57:00

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

# #

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!