Given: sqrt( 56 / 4 )
Simplify the value.
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◼︎ sqrt( 56 / 4 ) ; starting with the original problem
◼︎ sqrt( 56 ) / sqrt( 4 ) ; applied a radical rule to split
the root symbol into two, one for
the numerator and one for the
denominator.
◼︎ sqrt( 4 * 14 ) / sqrt( 4 ) ; since sqrt( 56 ) does not give
you a perfect square then the next
best option is to find its factors
that can get you a perfect square
root. Those numbers are 4 and 14.
◼︎ [ sqrt( 4 ) * sqrt( 14 ) ] / sqrt( 4 ) ; applied a radical rule to split
the root symbol into two parts by
the multiplication.
◼︎ [ 2 * sqrt( 14 ) ] / 2 ; Simplified the square roots
◼︎ sqrt( 14 ) ; ANSWER.
(simplified. Canceled out the twos)
