Question

Which number is equivalent to: 6√10 ⋅ 3√9
?(1 point)
Responses

9√90

9√19

54√10

180√9

Answer 1

To simplify the expression \( 6\sqrt{10} \cdot 3\sqrt{9} \), follow these steps:

1. Start by simplifying \( \sqrt{9} \):
\[
\sqrt{9} = 3
\]

2. Substitute back into the expression:
\[
6\sqrt{10} \cdot 3\sqrt{9} = 6\sqrt{10} \cdot 3 \cdot 3 = 6\sqrt{10} \cdot 9
\]

3. Now multiply the constants:
\[
6 \cdot 9 = 54
\]

4. Therefore, the expression simplifies to:
\[
54\sqrt{10}
\]

The answer is \( 54\sqrt{10} \).

So the correct response is \( 54\sqrt{10} \).