{"id":3698,"date":"2015-01-10T21:57:09","date_gmt":"2015-01-10T20:57:09","guid":{"rendered":"http:\/\/maciejko.org\/witryna\/?page_id=3698"},"modified":"2015-01-10T21:58:16","modified_gmt":"2015-01-10T20:58:16","slug":"cwiczenia-pierwiastki-odcinek-5","status":"publish","type":"page","link":"http:\/\/maciejko.org\/witryna\/publikacje-2\/filmy-edukacyjne\/liczby\/pierwiastki\/odcinek-5-pierwiastek-kwadratowy-przyklady\/cwiczenia-pierwiastki-odcinek-5","title":{"rendered":"\u0106wiczenia. Pierwiastki. Odcinek 5."},"content":{"rendered":"<p>1. Wyci\u0105gnij pierwiastek, albo uporz\u0105dkuj liczb\u0119:<\/p>\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=a%29%5C+%5Csqrt%7B2%5E5%5Ccdot3%5E4%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a)\\ \\sqrt{2^5\\cdot3^4}' title='a)\\ \\sqrt{2^5\\cdot3^4}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=36%5Csqrt%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='36\\sqrt{2}' title='36\\sqrt{2}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=b%29%5C+%5Csqrt%7B5%5E2%5Ccdot8%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b)\\ \\sqrt{5^2\\cdot8^3}' title='b)\\ \\sqrt{5^2\\cdot8^3}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=80%5Csqrt%7B2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='80\\sqrt{2}' title='80\\sqrt{2}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=c%29%5C+%5Csqrt%7B10%5E6%5Ccdot7%5E5%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='c)\\ \\sqrt{10^6\\cdot7^5}' title='c)\\ \\sqrt{10^6\\cdot7^5}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=10%5E3%5Ccdot7%5E2%5Csqrt%7B7%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='10^3\\cdot7^2\\sqrt{7}' title='10^3\\cdot7^2\\sqrt{7}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<br \/>\n2. Uporz\u0105dkuj liczb\u0119:<\/p>\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=a%29%5C+%5Csqrt%7B3%5E4%5Ccdot4%5E3%5Ccdot2%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a)\\ \\sqrt{3^4\\cdot4^3\\cdot2}' title='a)\\ \\sqrt{3^4\\cdot4^3\\cdot2}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=72&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='72' title='72' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=b%29%5C+%5Csqrt%7B5%5E2%5Ccdot7%5E3%5Ccdot21%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b)\\ \\sqrt{5^2\\cdot7^3\\cdot21}' title='b)\\ \\sqrt{5^2\\cdot7^3\\cdot21}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=5%5Ccdot49%5Ccdot%5Csqrt%7B3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='5\\cdot49\\cdot\\sqrt{3}' title='5\\cdot49\\cdot\\sqrt{3}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=c%29%5C+%5Csqrt%7B5%5E5%5Ccdot6%5E6%5Ccdot7%5E7%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='c)\\ \\sqrt{5^5\\cdot6^6\\cdot7^7}' title='c)\\ \\sqrt{5^5\\cdot6^6\\cdot7^7}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=5%5E2%5Ccdot6%5E3%5Ccdot7%5E3%5Ccdot%5Csqrt%7B35%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='5^2\\cdot6^3\\cdot7^3\\cdot\\sqrt{35}' title='5^2\\cdot6^3\\cdot7^3\\cdot\\sqrt{35}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<br \/>\n3. Uporz\u0105dkuj liczb\u0119:<\/p>\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=a%29%5C+%5Csqrt%7B%280%2C1%29%5E2%5Ccdot10%5Ccdot%280%2C5%29%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='a)\\ \\sqrt{(0,1)^2\\cdot10\\cdot(0,5)^3}' title='a)\\ \\sqrt{(0,1)^2\\cdot10\\cdot(0,5)^3}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=%5Cfrac%7B1%7D%7B20%7D%5Ccdot%5Csqrt%7B5%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='\\frac{1}{20}\\cdot\\sqrt{5}' title='\\frac{1}{20}\\cdot\\sqrt{5}' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=b%29%5C+%5Csqrt%7B%280%2C5%29%5E4%5Ccdot%280%2C01%29%5Ccdot6%5E0%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='b)\\ \\sqrt{(0,5)^4\\cdot(0,01)\\cdot6^0}' title='b)\\ \\sqrt{(0,5)^4\\cdot(0,01)\\cdot6^0}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=0%2C025&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='0,025' title='0,025' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=c%29%5C+%5Csqrt%7B2%5Ccdot6%5E%7B10%7D%5Ccdot8%5E3%7D&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='c)\\ \\sqrt{2\\cdot6^{10}\\cdot8^3}' title='c)\\ \\sqrt{2\\cdot6^{10}\\cdot8^3}' class='latex' \/><\/p>\n\n<div class=\"sp-wrap sp-wrap-default\">\n<div class=\"sp-head\" title=\"Expand\">\nRozwi\u0105zanie\n<\/div>\n<div class=\"sp-body folded\">\n<p><img src='http:\/\/s0.wp.com\/latex.php?latex=32%5Ccdot6%5E5&#038;bg=ffffff&#038;fg=000000&#038;s=0' alt='32\\cdot6^5' title='32\\cdot6^5' class='latex' \/><\/p>\n<\/div>\n<\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>1. Wyci\u0105gnij pierwiastek, albo uporz\u0105dkuj liczb\u0119: 2. Uporz\u0105dkuj liczb\u0119: 3. Uporz\u0105dkuj liczb\u0119:<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":3678,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/pages\/3698"}],"collection":[{"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/comments?post=3698"}],"version-history":[{"count":5,"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/pages\/3698\/revisions"}],"predecessor-version":[{"id":3704,"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/pages\/3698\/revisions\/3704"}],"up":[{"embeddable":true,"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/pages\/3678"}],"wp:attachment":[{"href":"http:\/\/maciejko.org\/witryna\/wp-json\/wp\/v2\/media?parent=3698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}