Question

square root 533.794816 by division method.
(please make sure to solve in it ONLY long division method, and please no spamming/trolling, i really need the answer right now ! :))

Answer 1

★ Answer -

• The square root of 533.794816 is 23.104.

★ To find -

• The square root of 533.794816 by long division method.

★ Step-by-step explanation -

(The answer has been attached)

1) Starting from decimal point, put arrows (or bars) on the pairs of integers from right to left as usual and on the decimal part from left to right.

2) Take the first pair of digits. In this case, it is 5. Find the greatest number whose square is 5 or less than 5. Such a number is 2. So, write 2 on the top in the quotient and also in the divisor. Subtract 2² i.e. 4 from 5. The remainder is 1.

3) Bring down the pair of digits below the next bar (i.e. 33, in this case) to the right of the remainder. So, the new dividend is 133.

4) Double the quotient (i.e. 2) to get 4 and enter it with a blank on its right at the place of the new divisor.

5) Find the largest possible digit to fill the blank which will also become the new digit in the quotient, such that when the new divisor is multiplied by the new digit in the quotient, the product is less than or equal to the dividend. In this case, 43 × 3 = 129, so we choose the new digit as 3. Place 129 under 133. Subtract and get the remainder 4.

6) Since the next pair of digits is after the decimal point, therefore, write the decimal point in the quotient.

7) Repeat the process of steps 3, 4 and 5. The remainder is 0.

Therefore -

• √533.794816 = 23.104.

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Answer 2

$\underline{\sf \large{Solution-}}$

Refer to the attachment

=> Required AnsweR:-

$\rm:\implies{\sqrt{533.794816} = 23.104}$

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Hopes it helps!:)

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