Estimate the value, correct to 1 significant figure.

Question

anonymous · Answer

$$\left( \sqrt{8.01\times25.01} \right)\div1.99$$

anonymous · Answer

This should be done without using a calculator.

anonymous · Answer

What do I do next? @experimentX

experimentx · Answer

i am looking

experimentx · Answer

damn .. pretty difficult question. i think i should get pen and paper

anonymous · Answer

Haha! Ok.

experimentx · Answer

is it related to binomial theore??

experimentx · Answer

*theorem

anonymous · Answer

I don't know. I think maybe the question is wrong. Because it can't be solved without using a calculator. :/

experimentx · Answer

i can be solved ... but the arduousity of method is the question here

anonymous · Answer

How do you think it should be solved?

experimentx · Answer

using binomial theorem ... quite complicated way though.

anonymous · Answer

I have never done that in class. :/
However if the question is written like this:
 $$\left( \sqrt{8.01\times25.01\div1.99} \right)$$
the answer would be 10, right?

experimentx · Answer

no  ... check from calc
 7.0711

experimentx · Answer

pretty close to 5$$5\sqrt{2}$$

anonymous · Answer

Ok. Thank you for helping me out! :)

experimentx · Answer

Oo.. looks like change in question

experimentx · Answer

answer will be close to 10

experimentx · Answer

i guess it's like this 

8.01 == 8
25.01 == 25
1.99 == 2

you will get 10, thought it's not exactly correct/

experimentx · Answer

still, i would be right upto 1 decimal places that is 10.0334

anonymous · Answer

Ok. The question says estimate the value. So I think 10 would be correct. Thanks alot!