Answer:
The value of expression is:
\(56\sqrt{10}\)
Step-by-step explanation:
We are asked to simplify the following expression:
product of Seven square root eight times four square root five.
i.e. Mathematically this expression is represented by:
\(7\sqrt{8}\times 4\sqrt{5}\)
\(=7\times 4\times \sqrt{8}\times \sqrt{5}\\\\=28\times \sqrt{8}\times \sqrt{5}\)
Also we know that:
\(\sqrt{a}\times \sqrt{b}=\sqrt{ab}\)
Hence,
\(\sqrt{8}\times \sqrt{5}=\sqrt{40}=2\sqrt{10}\)
Hence, The value of expression is:
\(7\sqrt{8}\times 4\sqrt{5}=56\sqrt{10}\)
