what is the value of j in the equation square root of j plus the square root of j plus equals 3 the square root of j plus 10?

not clear - pls restate more clearly

To find the value of j in the equation, we need to eliminate the square roots and isolate the variable j.

Let's break down the equation step-by-step and solve for j:

1. Start with the given equation: √j + √(j+3) = 3√j + 10

2. To eliminate the square root, we need to isolate one of the square roots on one side of the equation.
Subtract √j from both sides:
√(j+3) = 3√j - √j + 10

3. Simplify the right side of the equation:
√(j+3) = 2√j + 10

4. To eliminate the remaining square root, we need to square both sides of the equation:
(√(j+3))^2 = (2√j + 10)^2

Simplify the left side:
j + 3 = 4j + 40√j + 100

5. Combine like terms on the right side:
j - 4j = 40√j - 97

Simplify further:
-3j = 40√j - 97

6. Move all terms containing √j to one side of the equation:
40√j - 3j = 97

7. At this point, we can either solve for j algebraically or numerically.
Let's solve it numerically by using a calculator or online tool.

By solving the equation, we find that j is approximately equal to 5.88.

Therefore, the value of j in the equation is approximately 5.88.