Question

square root of 2800

Answer 1

The square root of 2800 can be simplified as follows:

\[
\sqrt{2800} = \sqrt{100 \times 28} = \sqrt{100} \times \sqrt{28} = 10 \times \sqrt{28}
\]

Next, we can simplify \(\sqrt{28}\):

\[
\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2 \times \sqrt{7}
\]

Now substituting this back, we get:

\[
\sqrt{2800} = 10 \times (2 \times \sqrt{7}) = 20\sqrt{7}
\]

Thus, the simplified form of the square root of 2800 is:

\[
\sqrt{2800} = 20\sqrt{7}
\]

If you want a decimal approximation, \(\sqrt{7} \approx 2.64575\), hence:

\[
20\sqrt{7} \approx 20 \times 2.64575 \approx 52.915
\]

So, the square root of 2800 is approximately \(52.915\).