Example

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

Question

$$\sqrt{ 10 } - \sqrt{ 6 } \times (4+ \sqrt{ 15 } ) \times \sqrt{ 4- \sqrt{ 15 } }$$

Answer

sqrt(10)-sqrt(6*(4-sqrt(15)))*(4+sqrt(15))

Solution


Simplify  \(\sqrt{6}(4+\sqrt{15})\sqrt{4-\sqrt{15}}\)  to  \(\sqrt{6(4-\sqrt{15})}(4+\sqrt{15})\).
\[\sqrt{10}-\sqrt{6(4-\sqrt{15})}(4+\sqrt{15})\]

Decimal Form: -3.710706

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