Question

sqrt10 * sqrt5 =

Answer 1

To simplify \( \sqrt{10} \times \sqrt{5} \), you can use the property of square roots that states \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).

So,

\[
\sqrt{10} \times \sqrt{5} = \sqrt{10 \times 5} = \sqrt{50}
\]

Now, you can simplify \( \sqrt{50} \):

\[
\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2}
\]

Therefore,

\[
\sqrt{10} \times \sqrt{5} = 5\sqrt{2}
\]