how do i find a integer of a square root that has a decimal like 7.3

Question

anonymous · Answer

So in other words without using a calculator you would like to know the answer to $$\sqrt{7.3}?$$

anonymous · Answer

yeah i dont know how to use calculatore properly and it needs to be the best estimate thats an integer to it

anonymous · Answer

its pre algebra i have to find the best integer estimate for each square

anonymous · Answer

so basicly  i have to find the clostest integer to 7.3

anonymous · Answer

?

anonymous · Answer

If you're allowed to use a calculator I suggest learning how to use it. Otherwise it becomes very annoying to estimate a correct value.

If you have absolutely no choice then here is how you do it: 
Lets make the question a bit easier as 7.3 is a hard number to find the exact square root of. Lets say we need to find $$\sqrt{7}$$. We know that $$\sqrt{4} = 2 $$ and $$\sqrt{9} = 3$$ meaning that your answer is somewhere in between 2 and 3. 7 is closer to 9, therefore we can assume that the  is greater than 2.5. The problem now becomes how close to 2.5 is it. This is where a calculator comes in really handy cause there is no perfect way of getting the exact value. I'd estimate it to be something like 2.75.

anonymous · Answer

k thxs