Question

find the square root of 289369 by long division method

Answer 1

${\orange {\underline {\sf {Answer:}}}}$

The square root of 289369 is 537.93

${\green {\underline {\sf {Step\:by\:step\:explanation :-}}}}$

Step 1 : Put a bar over every pair of digits starting form the units digit.

Step 2 : Find the largest number whose square is less than or equal to the number under the most left bar.

Step 3 : Subtract the product of the divisor and quotient from the first period to get a remainder .

Step 4: Bring down the next period to the right of the remainder.

Step 5 : Twice the quotient with a blank on its right, is taken as the next divisor.

Step 6: Choose the largest number possible to fill the blank and also to be the quotient.

Step 7 : Bring down the next period. Repeat the steps from 5 till we get the remainder.

The final quotient is the square root of the given number is 537.9

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Answer 2

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