Question

solve for a.
10 = 2\sqrt{a}

a = \square

Explanation:

Step1: Isolate the square root term

Divide both sides of the equation \(10 = 2\sqrt{a}\) by 2 to get \(\sqrt{a}\) by itself.
\(\frac{10}{2}=\frac{2\sqrt{a}}{2}\)
Simplifying both sides gives \(5=\sqrt{a}\).

Step2: Eliminate the square root

To solve for \(a\), square both sides of the equation \(5 = \sqrt{a}\) because squaring a square root cancels out the square root operation.
\(5^2 = (\sqrt{a})^2\)
Calculating the squares, we have \(25 = a\).

Answer:

25