Use the square root property to solve for the indicated variable. Assume that the variable represents positive numbers. Express all radicals in simplied form.
2e^2 = 3h, for e
2e^2 = 3h
e^2 = (3/2)*h
e = sqrt((3/2)*h)
thank you
To solve the equation 2e^2 = 3h for e using the square root property, we can follow these steps:
Step 1: Divide both sides of the equation by 2 to isolate e^2:
e^2 = (3h) / 2
Step 2: Take the square root of both sides of the equation. Remember to consider both the positive and negative square roots:
√(e^2) = ±√((3h) / 2)
Step 3: Simplify the square root of e^2 to e:
e = ±√((3h) / 2)
Since the variable e represents positive numbers, we discard the negative square root. Therefore, the final solution is:
e = √((3h) / 2), in simplified form.