Simplify √-48

-4√3

4√-3

4i√3

4√3i

√-48=4i√3

Step-by-step explanation:

because negative number never has a real root so 1st and 2nd option r out . i^2= -1 so root and Square cuts out eachother so i should be out of the root hence option 4th is also cut out. so 3 rd is correct.

The volume of the rectangular prism is 57.6in³

Step-by-step explanation:

First of all we need to calculate the area of the triangle, as the triangle has two 45 ° angles this means that it has 2 equal legs

a = area

a = (8in * 8in) / 2

a = 64in²/2

a = 32in²

To calculate the volume of a rectangular prism we have to use the following formula:

a = area =  32 in²

v = volume

h = height  = 1.8in

v = a * h

we replace the values that we know        

v =  32in² * 1.8in

v = 57.6in³

The volume of the rectangular prism is 57.6in³