Math, asked by souravthakur90, 1 month ago

square root of 1444 by long division methord pic​

Answers

Answered by Ҡαηнα
2

Answer :

  • 38

Note :

  • This types of easy number are solve by using Prime factorisation and for long number we use long division method, but as your question is about to use long division method so it was used.

Using :

  • Long division method.

Solution :

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \underline{ \:  \:  \: 38 \:  \:  \:  \:  \:  \:  \:  \:  \:  \: } \\ \begin{array}{c|c} \:  \:  \:  \: 3 & \sf   \overline{14} \:  \overline{44} \: \\ \underline{ \:  \:  \:  \: 3} &  \underline{ \: \:  \:  \:  \:  } { \underline{\sf  9 \:   \:  \:  \:  \: \:  \:  \:  \:  }}\\ \:  \: 68 & \sf 5 \:  \: 44\\  \underline{ \:  \:  \:  \: 8} & \sf  \underline{ \:  \:  \:  \:    \: 5 \:  \: 44 \:  \:  \:  \:   \: }\\ & \sf 0\end{array}

Therefore, √1444 = 38

Know more :

  • How to take out the square root of any number using long division method ?

  • 1st seperate the number, 2nd we have to multiply a number by itself such that, the product ≤ 14 ( above solution ) and the product must be greatest and also less than 14. The above condition will be met by “3”, because 3 × 4 = 12 ≤ 14.

Now this situation is explained using long division.

Answered by ankitkumr095
0

Answer:

√1444=38

Step-by-step explanation:

Step 1. Mark off the digits in pairs starting with the units digit. Each pair and remaining one digit (if any) is called a period.

Step 2. Think of the largest number whose square is equal too or less than the first period. Take this number as the divisor as well as quotient.

Step 3. Subtract the product of divisor and quotient from the first period and bring down the next period to the right of the remainder. This becomes the new dividend.

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