Respuesta :

The square root is  [tex]\sqrt{\frac{144}{256}} = \frac{3}{4}[/tex] Just square the top and bottom of the fraction. [tex]\sqrt{144} = 12[/tex] and [tex]\sqrt{256} = 16[/tex] so we have 12/16 and then we reduce to 3/4
Both 144 and 256 are perfect squares.  Their square roots are 12 and 16 respectively.

Thus, the square root of 144/256 is 12/16, which can be reduced to 3/4.