between which two consecutive integers does the square root of 155 lie?

Question

zehanz · Answer

Try to look for "easy" squares:

10²=100
11²=121
12²=...
13²=...
14²=...

You will see that 155 is somewhere between these numbers.
Then you also will know the answer...

destinymasha · Answer

???

destinymasha · Answer

i just didn't understand what exactly a consecutive integer.

zehanz · Answer

Consecutive integers are integers that differ 1, so 17 and 18, 11 and 12 etc.

Let's call $a=\sqrt{155}$, then $a^2=155$, so we are looking for a number that, when squared, gives 155.

So I tried to square some numbers, to see if I could get near 155.

destinymasha · Answer

ok

destinymasha · Answer

but the square root is 12.449899598?

destinymasha · Answer

do i round?

zehanz · Answer

This is not about using a calculator. You don't need it at all.
You are only asked to give a rough estimation of $\sqrt{155}$, by finding two consecutive integers.

As 12²=144 (too small),
and 13²=169 (too big),

the answer you have to give is : "between 12 and 13".

There is no rounding off. You can do this in your head, or with a piece of paper and a pencil.

destinymasha · Answer

Ooohh! Ok!  Seems like i was making it harder than it already was.   Thanks!

zehanz · Answer

YW!