College

We appreciate your visit to Which of the following are equal to the expression below Check all that apply sqrt 64 cdot sqrt 25 A 5 sqrt 64 B 40. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Which of the following are equal to the expression below? Check all that apply.

\[ \sqrt{64} \cdot \sqrt{25} \]

A. \[ 5 \sqrt{64} \]
B. 40
C. 1600
D. \[ \sqrt{1600} \]
E. 89
F. \[ \sqrt{40} \]

Answer :

To solve this problem, we need to determine which options are equal to the expression [tex]\(\sqrt{64} \cdot \sqrt{25}\)[/tex].

1. Calculate the expression:
[tex]\[
\sqrt{64} \cdot \sqrt{25}
\][/tex]
- First, find [tex]\(\sqrt{64}\)[/tex]. Since [tex]\(64\)[/tex] is a perfect square, [tex]\(\sqrt{64} = 8\)[/tex].
- Next, find [tex]\(\sqrt{25}\)[/tex]. Since [tex]\(25\)[/tex] is also a perfect square, [tex]\(\sqrt{25} = 5\)[/tex].
- Multiply the results: [tex]\(8 \times 5 = 40\)[/tex].

So, [tex]\(\sqrt{64} \cdot \sqrt{25} = 40\)[/tex].

2. Evaluate each option to see if it equals 40:

A. [tex]\(5 \sqrt{64}\)[/tex]
- Calculate [tex]\(\sqrt{64}\)[/tex]: [tex]\(8\)[/tex], then [tex]\(5 \times 8 = 40\)[/tex],
- So option A is equal to 40.

B. 40
- This is exactly 40,
- So option B is equal to 40.

C. 1600
- This is not equal to 40, so option C does not match.

D. [tex]\(\sqrt{1600}\)[/tex]
- Calculate [tex]\(\sqrt{1600}\)[/tex]. Since [tex]\(1600\)[/tex] is a perfect square, [tex]\(\sqrt{1600} = 40\)[/tex],
- So option D is equal to 40.

E. 89
- This number does not equal 40, so option E does not match.

F. [tex]\(\sqrt{40}\)[/tex]
- Calculate [tex]\(\sqrt{40}\)[/tex]. Since [tex]\(40\)[/tex] is not a perfect square, [tex]\(\sqrt{40}\)[/tex] is not equal to 40,
- So option F does not match.

3. Conclusion:
The options that equal the expression [tex]\(\sqrt{64} \cdot \sqrt{25}\)[/tex] are A, B, and D.

Thanks for taking the time to read Which of the following are equal to the expression below Check all that apply sqrt 64 cdot sqrt 25 A 5 sqrt 64 B 40. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada