Answer:
The value of expression is:
[tex]56\sqrt{10}[/tex]
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:
[tex]7\sqrt{8}\times 4\sqrt{5}[/tex]
[tex]=7\times 4\times \sqrt{8}\times \sqrt{5}\\\\=28\times \sqrt{8}\times \sqrt{5}[/tex]
Also we know that:
[tex]\sqrt{a}\times \sqrt{b}=\sqrt{ab}[/tex]
Hence,
[tex]\sqrt{8}\times \sqrt{5}=\sqrt{40}=2\sqrt{10}[/tex]
Hence, The value of expression is:
[tex]7\sqrt{8}\times 4\sqrt{5}=56\sqrt{10}[/tex]
