# Between what two consecutive integers does Square Root Of 35 lie?

Nov 10, 2015

$5$ and $6$.

#### Explanation:

You simply need to find two numbers $n$ and $m$ such that

${n}^{2} \le 35 < {m}^{2}$

Without thinking too much, you can simply list the first squares:

${1}^{2} = 1$;
${2}^{2} = 4$;
${3}^{2} = 9$;
${4}^{2} = 16$;
${5}^{2} = 25$;
${6}^{2} = 36$...

So, you can see that $n = 5$ and $m = 6$ satisfy the request, since

${5}^{2} < 35 < {6}^{2}$