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 = √1√28
√28 = √2√14
√28 = √4√7
Find the highest integer square root
The highest factor that has an integer square root is 4
Therefore, we use the product combo √28 = √4√7
Evaluating square roots, we see that √4 = 2
Final Answer
y = ±2√7Take the Quiz
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