Question

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Answer 1

$1)\sqrt{16}< \sqrt{17,5} <\sqrt{25}\\ 4<\sqrt{17,5}<5\\\sqrt{49}< \sqrt{55}< \sqrt{64}\\ 7<\sqrt{55}<8\\ 2)\frac{1}{2} \sqrt{72}+3 \sqrt{32}- \sqrt{162}= \frac{1}{2} \sqrt{36*2}+3 \sqrt{16*2}- \sqrt{81*2}= \frac{1}{2}*6 \sqrt{2}+3*4 \sqrt{2}-9 \sqrt{2}=3 \sqrt{2}+12 \sqrt{2} -9\sqrt{2}=6 \sqrt{2}$

$3)-5\sqrt{3}=- \sqrt{25*3}=- \sqrt{75} \\-3\sqrt{7}=- \sqrt{9*7}=- \sqrt{63}\\ -4\sqrt{5}=- \sqrt{16*5} =-\sqrt{80}\\ -\sqrt{80};- \sqrt{75};- \sqrt{63}$