If 8 = √(4y), what is the value of y?

If 8 = √(4y), what is the value of y?

• A. 12
• B. 14
• C. 16
• D. 18

Answer: (C)

To determine the value of y from the equation 8 = √(4y), start by squaring both sides to eliminate the square root. This step gives you: 64 = 4y. Next, solve for y by dividing both sides by 4: y = 64 / 4, which simplifies to: y = 16. The correct answer is derived directly from systematically manipulating the equation, ensuring that all operations maintain balance. The reasoning leads to a straightforward calculation corroborated by the initial setup of the equation. This conclusion is supported by substituting y back into the original equation to confirm that it yields a true statement, validating the result.

To determine the value of y from the equation 8 = √(4y), start by squaring both sides to eliminate the square root. This step gives you:

64 = 4y.

Next, solve for y by dividing both sides by 4:

y = 64 / 4,

which simplifies to:

y = 16.

The correct answer is derived directly from systematically manipulating the equation, ensuring that all operations maintain balance. The reasoning leads to a straightforward calculation corroborated by the initial setup of the equation. This conclusion is supported by substituting y back into the original equation to confirm that it yields a true statement, validating the result.