Answer
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y = ±2√7

↓Steps Explained:↓

Solve the following equation

2y^2-3=53

Solve for y:

2y2-3 = 53

Add + 3 to both sides of the equation

2y2-3 + 3 = 53 + 3

2y2 = 56

y  =  56
  2

Using our radical expression calculator, we can simplify this

y2 = 28

Take the square root of each side:

y2= √28

y= = ±√28

Simplify √28

Checking square roots, we see that 52 = 25 and 62 = 36

Our answer is not an integer, so we try simplify it into the product of an integer and a radical.

We do this by listing each product combo of 28 checking for integer square root values below:

28 = √128

28 = √214

28 = √47

Find the highest integer square root

The highest factor that has an integer square root is 4

Therefore, we use the product combo √28 = √47

Evaluating square roots, we see that √4 = 2

Final Answer

y = ±2√7
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