Question

find the value of root 7 upto 4 decimal places by long division method

Answer 1

Answer:

Therefore the value of root 7 upto 4 decimal places by long division method is √7=2.6457

Answer 2

The square root of 7 upto 4 decimal places = 2.6458

Given :

The number 7

To find :

The square root of 7 upto 4 decimal places

Solution :

Step 1 of 2 :

Write down the given number

Here the given number is 7

Step 2 of 2 :

Find the value of root 7 upto 4 decimal places by long division method

$\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{}}}&{\underline{\sf{\:\:2.64575\:\:}}}\\ {\underline{\sf{2}}}& {\sf{7.000000}} \\{\sf{}}& \underline{\sf{4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ {\underline{\sf{46}}}& {\sf{\:300 \: \: \: \: \: \: \: \: \: }} \\{\sf{}}&\underline{\sf{276\: \: \: \: \: \: }} \\ {\underline{\sf{524}}}&{\sf{ \: \: 2400 \:\:}} \\{\sf{}}&\underline{\sf{\:\:2096\:\:}} \\ {\underline{\sf{5285}}}& {\sf{\: \: \: \: 30400}} \\{\sf{}}&\underline{\sf{\: \: \: \:26425}} \\ {\underline{\sf{}}} {\underline{\sf{52907}}}& {\sf{\: \: \: \: \: \: \: \: \: \: 397500}} \\{\sf{}}&\underline{\sf{\: \: \: \: \: \: \: \: \: \: 370349}} \\ {\underline{\sf{529145}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2715100}} \\{\sf{}}&\underline{\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:2645725}} \\ {\underline{\sf{}}}& {\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 69375}} \\{\sf{}}&\underline{\sf{}} {\sf{}}&{\sf{\:\:\:\:}}\end{array}\end{gathered}$

∴ √7 = 2.64575. . .

Hence the square root of 7 upto 4 decimal places is 2.6458

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