Question

15 by root 10+2 root 5+2 root 10 -root 5-2×2 root 5

Answer 1

Answer:

$\frac{15}{ \sqrt{10} } + 2 \sqrt{5} + 2 \sqrt{10} - \sqrt{5} - 4 \sqrt{5} \\ = \frac{15}{ \sqrt{10} } - 3 \sqrt{5} + 2 \sqrt{10} \\ = \frac{15 - 20}{ \sqrt{10} } - 3 \sqrt{5} \\ = \frac{ - 5}{ \sqrt{10} } - 3 \sqrt{5} \\ = \frac{ - 5 - 15 \sqrt{2} }{ \sqrt{10} } \\ \frac{ - 5(1 + 3 \sqrt{2})}{ \sqrt{10} }$

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