Which square root is between 4 and 5?

Ok, the square root is defined as: is the number that when squared returns x, so : .

Then in this problem you want to know which root is between 4 and 5, the first thing we need to see is the squares of this numbers:

4*4 = 16, so = 4

5*5 = 25, so = 5

then we need to find a square root valued in a number between 16 and 25.

looking at the options you give, the only number between 16 and 25 is the 24.

so the square root between 4 and 5 is .

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x