Question

2 radical 64 times 7 radical 81

Answer 1

To simplify the expression \( 2 \sqrt{64} \times 7 \sqrt{81} \), follow these steps:

1. First, calculate the square roots:
- \( \sqrt{64} = 8 \)
- \( \sqrt{81} = 9 \)

2. Substitute back into the expression:
\[
2 \sqrt{64} \times 7 \sqrt{81} = 2 \times 8 \times 7 \times 9
\]

3. Now calculate \( 2 \times 8 \):
\[
2 \times 8 = 16
\]

4. Next, calculate \( 7 \times 9 \):
\[
7 \times 9 = 63
\]

5. Now multiply the results:
\[
16 \times 63
\]

6. To calculate \( 16 \times 63 \):
\[
16 \times 63 = 1008
\]

So the final result is:
\[
2 \sqrt{64} \times 7 \sqrt{81} = 1008
\]