Simplify the product.

Question

StartRoot 3 EndRoottimesStartRoot 48 EndRoot
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Part 1
StartRoot 3 EndRoottimesStartRoot 48 EndRootequals
  
enter your response here ​(Type an exact​ answer, using radicals as​ needed.)

Answer 1

To simplify the product \( \sqrt{3} \times \sqrt{48} \), we can use the property of square roots which states that \( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \).

So, we have:

\[ \sqrt{3} \times \sqrt{48} = \sqrt{3 \times 48} \]

Now, calculate \( 3 \times 48 \):

\[ 3 \times 48 = 144 \]

Thus, we can rewrite the expression:

\[ \sqrt{3} \times \sqrt{48} = \sqrt{144} \]

Now, we can simplify \( \sqrt{144} \):

\[ \sqrt{144} = 12 \]

Therefore, the simplified form of \( \sqrt{3} \times \sqrt{48} \) is:

\[ \boxed{12} \]