Question

find the value of √7up to six decimals places by long division method

by above pic model not that one, model of the sum exact question is
$\sqrt{7}$

Answer 1

Final Answer:

$\boxed {\sqrt{7}  = 2.645751(upto \: 6 \: decimals) }$

1) We will use Long Division Method to find the value of √7 .

We started with 2 , since [2 after that use decimal]

$2^{2}<7<3^2$

Then, used tactics to find the root of 7 , that is (7-4)*100 = 300 .

Using ,46*6 = 276 <300.  [6 after decimal]

Now, (300-276)*100= 2400.

Also, 524*4=2096 <2400.[4 after 6]

=> (2400-2096)*100 = 30400

Using , 5285*5 = 26425 <30400. [5 after 4]

repeating the same procedure till  we get six decimal places .

For Calculation see pic.