Respuesta :
Answer:
2,000,000
Step-by-step explanation:
First of all, I think that you are asking:
[tex]\sqrt{10}*\sqrt{10}*10*10\sqrt{10}*100*2\sqrt{10}[/tex]=?
So, because multiplication is commutative, we are allowed to group together what we know and what we will deal with later:
[tex]\sqrt{10}*\sqrt{10}*10*10\sqrt{10}*100*2\sqrt{10}[/tex] can be rewritten as
[tex](10*10*100*2)*\sqrt{10}* \sqrt{10}*\sqrt{10}*\sqrt{10}[/tex]
10*10*100*2=20,000
[tex]20,000(\sqrt{10}*\sqrt{10}*\sqrt{10}*\sqrt{10})[/tex]
So, what we do know is that when we take the square root of a number and multiply it by itself (or "square" it) we will get back the number that we started with.
So:
[tex]\sqrt{10}*\sqrt{10} =10[/tex]
We can rewrite what we had up top as:
[tex]20,000((\sqrt{10})*(\sqrt{10}))*((\sqrt{10})*(\sqrt{10}))[/tex]
[tex]20,000(10)(10)[/tex]
[tex]20,000(100)[/tex]
[tex]20,000(100)=2,000,000[/tex]
