Simplify the expression. Leave your answer In simplest radical form. (sqrt (6))(sqrt (30)) square

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Answer 1

To simplify the expression \((\sqrt{6})(\sqrt{30})\), we can use the property of square roots that states:

Applying this property to our expression, we get:

Next, we multiply the numbers inside the square root:

So, we have:

Now, we need to simplify

. To do this, we factor

into its prime factors:

Using the property of square roots, we can separate the factors:

Since

and

, we get:

Therefore, the simplified form of the expression \((\sqrt{6})(\sqrt{30})\) is:

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