Between which two consecutive integers does #sqrt98# lie?

1 Answer
Mar 28, 2018

Answer:

#9 < sqrt98 < 10#

Explanation:

#sqrt98 is an irrational number because it does not have an exact answer, but is an infinite non-recurring decimal.

Consider the perfect squares closest to #98#

#64" "81" "100" "121#
#color(white)(xxxxxx)uarr#
#color(white)(xxxxxx)98" "# is between #81 and 100#

#sqrt81" "sqrt98," "sqrt100#
#" "9" "sqrt98" "10#