Question

Given y is positive, make y the subject of y=√a2+n show algebraic working.​

Answer 1

To make y the subject of the equation y=√(a^2+n), square both sides of the equation, subtract a^2, and take the square root to solve for y.

Step-by-step explanation:

To make y the subject of the equation y=√(a^2+n), we need to isolate y on one side of the equation. To do that, we will square both sides of the equation:

y^2=(√(a^2+n))^2

y^2=a^2+n

Next, we subtract a^2 from both sides:

y^2-a^2=n

Finally, we take the square root of both sides to solve for y:

y=±√(n+a^2)

Since y is given as positive, the final solution is y=√(n+a^2).