Question

find the square root of correct to 3 decimal places 367 2/7

Answer 1

Answer:

The square root is 19.165

Step-by-step explanation:

Given the mixed fraction $367\frac{2}{7}=\frac{2571}{7}$

we have to find the square root of above fraction

$\frac{2571}{7}=367.2857=\frac{3672857}{10000}$

To find the square root several steps are used

Step 1:Put a bar over each pair of digits starting from the last.  

Step 2 : Choose the largest number whose square is less than or equal to the first number.

Step 3: Drop down the number under the next bar to the right of the remainder.

Step 4 : Add the divisor and quotient and think of a largest number that put after the addition in such a way that the product of a new divisor and this digit is equal to new dividend.

Step 6 : Repeat step 3 and 4 until the remainder comes 0.

Hence,  

The square root of 3672857 is 1916.47 as calculated in attachment.

$\sqrt{\frac{3672857}{10000}}=\frac{\sqrt{3672857}}{\sqrt{10000}}$

              $=\frac{1916.47}{100}=19.1647\sim19.165$

Answer 2

Answer:

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