Question

Помогите.................

Answer 1

Объяснение:

$\tt\displaystyle 1)\;\;\sqrt{16*64}=\sqrt{4^{2}*8^{2}}=\sqrt{4^{2}}*\sqrt{8^{2}}=4*8=32\\\\\ \sqrt{25*16*100}=\sqrt{5^{2}*4^{2}*10^{2}}=\sqrt{5^{2}}*\sqrt{4^{2}}*\sqrt{10^{2}}=5*4*10=200\\\\2)\;\;\; \sqrt{81*25} =\sqrt{9^{2}*5^{2}}=\sqrt{9^{2}}*\sqrt{5^{2}}=9*5=45\\\\\sqrt{225*64*9}=\sqrt{15^{2}*8^{2}*3^{2}}=\sqrt{15^{2}}*\sqrt{8^{2}}*\sqrt{3^{2}}=15*8*3=360\\\\3)\;\;\;\;\sqrt[3]{8*64*216}=\sqrt[3]{2^{3}*4^{3}*6^{3}}=\sqrt[3]{2^{3}}*\sqrt[3]{4^{3}}*\sqrt[3]{6^{3}}=2*4*6=48$

$\tt\displaystyle \sqrt[3]{1000*512}=\sqrt[3]{10^{3}*8^{3}}=\sqrt[3]{10^{3}}*\sqrt[3]{8^{3}}=10*8=80$