Using the ratio of perfect squares method, what is square root of 108 rounded to the nearest hundredth?

Question

anonymous · Answer

@BloomLocke367

bloomlocke367 · Answer

okay, given what @amistre64 said, I think you have to find what squares 108 is between, which is 100 and 121. so you do $\Large\frac{108-100}{121-100}$

bloomlocke367 · Answer

I think.. I'm probably wrong, one second.

anonymous · Answer

$$\sqrt{108}= 10.39*10.39=107.9521= 108$$

bloomlocke367 · Answer

okay. that works too, but it's not using the ratio method.

anonymous · Answer

oh okay idk how to do that

bloomlocke367 · Answer

@amistre64 Can you come help?

anonymous · Answer

here ill see if @Here_to_Help15 can help

anonymous · Answer

its okay guys i didnt pass it ive been having trouble all day but o well maybe my teacher can help me tuesday cuz i have a class with her that day

bloomlocke367 · Answer

@amistre64 Can you please help?

amistre64 · Answer

your approach is valid.

8 out of 21 is the ratio between perfect squares

100+8/21  should be a better approx then 100 or 121

amistre64 · Answer

10+8/21 that is

amistre64 · Answer

i worked on a post a few months back maybe where the poster gave a link to the textbook that explained it ..... cant find the post tho

amistre64 · Answer

do we want the solution to sqrt(108) to the hundreths position?  or the perfect square approximation, evaluated at the hundreths position?

amistre64 · Answer

10+8/21 = 10.3809...

amistre64 · Answer

http://openstudy.com/study#/updates/553544d5e4b0405b794d3cc0