Question

what is the value of √47​

Answer 1

the value of √47​ is 6.8556546....

if you want to solve more, the answer is 6.8556546004010441249358714490848

Mark my answer as brainliest

Answer 2

$\huge\fcolorbox{cyan}{black}{\color{blue}{★ANSWER★}}$

${\underline{\green{❥6.85}}}$

$\huge\fcolorbox{cyan}{black}{\color{blue}{★EXPLANATION★}}$

☑️Because 47 is not a perfect square, that is, we don't have a number whose product by itself is exactly 47, we will therefore look for an approximate answer.

☑️Use of a calculator can easily get us a very close root to this problem.

Without a calculator, however, we may need to estimate by taking two perfect squares to work with. One above and the other below 47.

☑️Take 49 and 36, which are perfect squares with roots 7 and 6 respectively. Then ask yourself: Is 47 closer to 49 than 36?

☑️The answer is yes. This means the square root of 47 must be close to but less than the square root of 49.

☑️By good approximation one can take 6.9 as the square root of 47.

☑️Another easy way is the use of logarithm. Take log of 47 in any base . Half the logarithm and look for the antilog of half of the logarithm. But this is at higher school level and above exercise.

You will get 6.86 as the square root of 47. (Estimated to two decimal places. The estimation can go on and on to many decimal places)