solve for the variable

�ã(square root)
�ãy+6 - �ãy = �ã2

would i square both sides first?
im stuck

yes, then use the quadratic equation.

its is y times the 5th power of 8 or using the quadradic eqaution it bis something else

the eqaution is the reciprical of the times of 6 to the 10th power of A or the quadratic eqaution

To solve for the variable y in the equation √(y+6) - √y = √2, squaring both sides of the equation can be a useful step. Here's how you can do it:

Step 1: Start by squaring both sides of the equation:

(√(y+6))^2 - (√y)^2 = (√2)^2

This simplifies to:

y + 6 - y = 2

Step 2: Combine like terms on the left side of the equation:

y - y + 6 = 2

The y terms cancel out, leaving us with:

6 = 2

Step 3: It appears that the equation simplifies to a contradiction (6 = 2), which means there is no valid solution for y.

Therefore, there is no value of y that satisfies the given equation.