Example

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

Question

$$\sqrt{ 3 } \times \sqrt{ 2 \sqrt{ 5 } -2 \sqrt{ 2 } } \times \sqrt{ 2 \sqrt{ 5 } +2 \sqrt{ 2 } }$$

Answer

sqrt(3)*sqrt(2*(sqrt(5)-sqrt(2)))*sqrt(2*(sqrt(5)+sqrt(2)))

Solution


Factor out the common term \(2\).
\[\sqrt{3}\sqrt{2(\sqrt{5}-\sqrt{2})}\sqrt{2\sqrt{5}+2\sqrt{2}}\]
Factor out the common term \(2\).
\[\sqrt{3}\sqrt{2(\sqrt{5}-\sqrt{2})}\sqrt{2(\sqrt{5}+\sqrt{2})}\]
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