How do you simplify sqrt4/(5sqrt3)?

1 Answer
Mar 20, 2018


{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!