Given: sqrt( (3・x^2 ) / (4) )
Simplify.
------------------------------------------
◼︎ sqrt( (3・x^2 ) / (4) ) ; starting with the original
problem
◼︎ sqrt( 3・x^2 ) / sqrt( 4 ) ; applied a radical rule to split
the root symbol into two, one
for the numerator and one for
the denominator.
◼︎ [ sqrt( 3 )・sqrt( x^2 ) ] / sqrt( 4 ) ; applied a radical rule to split
the root symbol into two parts
by the multiplication.
◼︎ [ sqrt( 3 )・ x ] / sqrt( 4 ) ; simplified. A square root and
a square cancel each other out
leaving just the x.
◼︎ [ sqrt( 3 )・ x ] / 2 ; ANSWER.
(simplified. Square root of 4
is 2 )