{"id":718,"date":"2020-03-15T02:34:18","date_gmt":"2020-03-15T02:34:18","guid":{"rendered":"http:\/\/mathfun4kids.com\/mlog\/?p=718"},"modified":"2024-10-25T02:37:24","modified_gmt":"2024-10-25T06:37:25","slug":"problem-of-the-day-march-15-2020","status":"publish","type":"post","link":"https:\/\/mathfun4kids.com\/mlog\/?p=718","title":{"rendered":"Problem of the Day &#8211; March 15, 2020"},"content":{"rendered":"\n<p>Let $a$ and $b$ are positive integers that makes $\\dfrac{\\sqrt{2}+\\sqrt{a}}{\\sqrt{3}+\\sqrt{b}}$ a rational number, where $a &lt;= b$. Find all pairs of $(a, b)$.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let $a$ and $b$ are positive integers that makes $\\dfrac{\\sqrt{2}+\\sqrt{a}}{\\sqrt{3}+\\sqrt{b}}$ a rational number, where $a &lt;= b$. Find all pairs of $(a, b)$.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[13],"tags":[],"_links":{"self":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/718"}],"collection":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=718"}],"version-history":[{"count":6,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/718\/revisions"}],"predecessor-version":[{"id":724,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=\/wp\/v2\/posts\/718\/revisions\/724"}],"wp:attachment":[{"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathfun4kids.com\/mlog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}