The square root of $10404$ is ____.

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Detailed Solution

The square root of 10404 is 102.
The given number is 10404.
Overline every pair of digits starting from the digit at one’s place. After putting the bar, the number becomes

01 ¯ 04 ¯ 04. ¯

Now, determine the number having squares equal to or less than the digits under the first overline.
This number is the divisor and quotient it with the number under the first overline as the dividend. Divide and get the remainder. So, the divisor is 2 and the dividend is 5. Then, Question Image

Lower the value in the next bar over to the right of the remainder. i.e., bring 04 to the right of 0.
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The new divisor should be double of the previous one.
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Locate the digit to complete the number. This digit will also become the new digit in the quotient.
In this case,

21 × 1 = 21

which is greater than 4. So, we put 0 to the right of 2 and in quotient and bring 04 to the right of 4. Place 4 in the blank and complete the division.
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Now,