\(4.8^{2}+28.6^{2}=x^{2}\)

1 answer

To solve the equation \(4.8^{2} + 28.6^{2} = x^{2}\), we start by calculating \(4.8^{2}\) and \(28.6^{2}\).

Calculating \(4.8^{2}\):

\[ 4.8^{2} = 23.04 \]

Calculating \(28.6^{2}\):

\[ 28.6^{2} = 817.96 \]

Now, we add these two results together:

\[ 4.8^{2} + 28.6^{2} = 23.04 + 817.96 = 841 \]

Thus, we have:

\[ x^{2} = 841 \]

Next, we find \(x\) by taking the square root of both sides:

\[ x = \sqrt{841} = 29 \]

Therefore, the solution is

\[ \boxed{29} \]