Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$(5 \sqrt{ 2 } -2 \sqrt{ 5 } )( \sqrt{ 0.2 } + \sqrt{ 0.5 } )$$

Answer

1.1543203766865*(5*sqrt(2)-2*sqrt(5))

Solution


Simplify  \(\sqrt{0.2}\)  to  \(0.447214\).
\[(5\sqrt{2}-2\sqrt{5})(0.447214+\sqrt{0.5})\]
Simplify  \(\sqrt{0.5}\)  to  \(0.707107\).
\[(5\sqrt{2}-2\sqrt{5})(0.447214+0.707107)\]
Simplify  \(0.447214+0.707107\)  to  \(1.154320\).
\[(5\sqrt{2}-2\sqrt{5})\times 1.154320\]
Regroup terms.
\[1.154320(5\sqrt{2}-2\sqrt{5})\]
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