Enter Equation or Inequality
  

Solve the following equation

2y^2=50

Solve for y:

2y2 = 50

Divide each side of the equation by 2

2y2
2
=
  
50
2

y2  =  50
  2

y  =  50
  2

Using our radical expression calculator, we can simplify this

y2 = 25

Take the square root of each side:

y2= √25

y= = ±√25

Simplify √25

If you use a guess and check method, you see that 42 = 16 and 62 = 36

Since 16 < 25 < 36 the next logical step would be checking 52

52 = 5 x 5

52 = 25 <--- We match our original number!!!

Therefore, √25 = 5

Another method is to list out the products of integers starting at 1 as follows:

12 = 1 x 1 = 1 <--- Not our answer since 1 < 25

22 = 2 x 2 = 4 <--- Not our answer since 4 < 25

32 = 3 x 3 = 9 <--- Not our answer since 9 < 25

42 = 4 x 4 = 16 <--- Not our answer since 16 < 25

52 = 5 x 5 = 25 <--- This is our answer!!!

62 = 6 x 6 = 36 <--- Not our answer since 36 > 25