5. Using long division method, find the square root of 0.00069169.
Answers
Answer:
Square root of a number by long division method
Let us understand the long division method with the help of an example.
Taking 484 as the number whose square root is to be evaluated. Place a bar over the pair of numbers starting from the unit place or Right-hand side of the number. In case, if we have the total number of digits as odd number, the leftmost digit will also have a bar, 4¯¯¯ 84¯¯¯¯¯.
Take the largest number as the divisor whose square is less than or equal to the number on the extreme left of the number. The digit on the extreme left is the dividend. Divide and write the quotient. Here the quotient is 2 and the remainder is 0.long division method
Next, we then bring down the number, which is under the bar, to the right side of the remainder. Here, in this case, we bring down 84. Now, 84 is our new dividend.long division method
Now double the value of the quotient and enter it with blank space on the right side.
long division method
Next, we have to select the largest digit for the unit place of the divisor (4_) such that the new number, when multiplied by the new digit at unit’s place, is equal to or less than the dividend (84).
In this case, 42 × 2 = 84. So the new digit is 2.
long division method
The remainder is 0, and we have no number left for division, therefore,
484−−−√ = 22
By this we had done means we get the square root of 0.00069169 is 0.0263
The answer is 0.0263