Using the ratio of perfect squares method, what is square root of 53 rounded to the nearest hundredth?

Question

anonymous · Answer

@BloomLocke367  @KamaraWilliams

bloomlocke367 · Answer

I don't know what it means by ratio of perfect squares method... sorry..

anonymous · Answer

i tried doing it with a calculator like $$\sqrt{53}$$ but it didnt work i keep on getting it wrong nothing the ratio doesnt mean really any thing we just have to find the the decimal form

anonymous · Answer

SORRY ITS 7.28

bloomlocke367 · Answer

oh, okay. What are you getting when you put it in a calculator?/

anonymous · Answer

7.29

bloomlocke367 · Answer

Please stop giving direct answers.

anonymous · Answer

is the closest i got

anonymous · Answer

or 7.3

bloomlocke367 · Answer

Please stop giving direct answers.

bloomlocke367 · Answer

http://openstudy.com/code-of-conduct

anonymous · Answer

it need to be in the hundreths place not the tenths

anonymous · Answer

7.29

anonymous · Answer

@unkownbeast911

bloomlocke367 · Answer

no, that's wrong. @blackdragon316, what do you get in the calculator?

anonymous · Answer

|dw:1431712715992:dw|

bloomlocke367 · Answer

yes, now do you know what the hundreths place is?

anonymous · Answer

7.29*7.29=53.1441

anonymous · Answer

yeah it is behind the 2 so were the 8 is and @unkownbeast911 i need just 53 like 53  by its self

anonymous · Answer

thats impossible

bloomlocke367 · Answer

well, with what you have, would you round up or down?

anonymous · Answer

up because of the numbers at the end

bloomlocke367 · Answer

no, you look at what's directly after it.

anonymous · Answer

so is it 7.28 cuz then i get 52.9984 and i round the hundeths place that turn the 10th place into 0 and the 52 into 53 right

amistre64 · Answer

ratio of perfect squares is a method, the question is assessing your ability to work the method, not just get an answer from a calculator

anonymous · Answer

see it is 7.29

bloomlocke367 · Answer

yes, @blackdragon316. And thank you @amistre64 for coming to help.

amistre64 · Answer

sqrt(49) < sqrt(53) < sqrt(64)

the idea is that the ratio of 53 between 49 and 64 gives a good approximation

anonymous · Answer

okay now i have two more to do and their the same thing we did here

amistre64 · Answer

53-49
----- = ratio
64-49

amistre64 · Answer

4/15 is the ratio between the perfect sqaures

so 7+4/15 is a closer approximation than 7

amistre64 · Answer

109/15^2 = 11881/225

11881/225 < 53 < 64  gets messy the closer you get :)