Question

Blank radical 5 + 3 radical 45 equals

Answer 1

To simplify the expression \( \sqrt{5} + 3\sqrt{45} \), we first simplify \( \sqrt{45} \).

We know that:
\[
\sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5}
\]

Now we can substitute this back into the original expression:

\[
\sqrt{5} + 3\sqrt{45} = \sqrt{5} + 3(3\sqrt{5}) = \sqrt{5} + 9\sqrt{5}
\]

Now we can combine the terms:

\[
\sqrt{5} + 9\sqrt{5} = 10\sqrt{5}
\]

So, the simplified form of \( \sqrt{5} + 3\sqrt{45} \) is:

\[
\boxed{10\sqrt{5}}
\]