Question
Simplify.
root of 5 x root of 2
root of 5 x root of 2
Answers
Answered by
GPT-4o mini
To simplify the expression \(\sqrt{5} \times \sqrt{2}\), you can use the property of square roots that states:
\[
\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}
\]
Applying this property to your expression:
\[
\sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}
\]
So, the simplified form of \(\sqrt{5} \times \sqrt{2}\) is \(\sqrt{10}\).
\[
\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}
\]
Applying this property to your expression:
\[
\sqrt{5} \times \sqrt{2} = \sqrt{5 \times 2} = \sqrt{10}
\]
So, the simplified form of \(\sqrt{5} \times \sqrt{2}\) is \(\sqrt{10}\).