![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The expression is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=effdd3ea3003c079324d5db5092c5503.png\")
.
The square root of ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=58dfef24b9418510879d2df0c0f48786.png\")
.is not a perfect square and the decimal () of the number is not repeating, so the number![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=effdd3ea3003c079324d5db5092c5503.png\")
. is an irrational number (I).
§ Observe the Venn diagram:
\§ All irrational numbers (I) are real numbers (R).
\§ The number ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=59507620d6c4caa7925cefadcc2e8d5d.png\")
is a positive integer number (Z).
§ The sets of integers (Z) are subsets of rational number (Q).
\§ All rational numbers (Q) are real numbers (R).
\![\"\"](\"/userfiles/image/realnumber.jpg\")
![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The number ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=e252d7b9a85fe8a7de3a6ee2ec0b2751.png\")
. belongs to I, and R.