Math, asked by jaimatafoodsishika, 9 months ago

Square root of 100489​

Answers

Answered by BrainlyIAS
7

Answer:

Square root of 100489​ is 317

Step-by-step explanation:

The square root of 100489 is the number, which multiplied by itself, is 100489. In other words, the square of this number equals one hundred thousand, four hundred and eighty-nine. If you have been looking for square root of one hundred thousand, four hundred and eighty-nine, then you are right here, too. On this page you can also find what the parts of √100489 are called, and in addition to the terminology of √100489, we also have a calculator you don’t want to miss. Read on to learn everything about the sqrt 100489.

Answered by poojan
21

The square root of 100489 is 317.

Evaluation of square root of 100489 by long division method.

Procedure:

  • Group the digits in the number into pairs (2 at a time) starting from the unit's place.
  • Now take the largest number as a divisor and quotient whose square is less than or equal to the start pair.
  • Now, like in every division method, subtract the resultant value from the above pair and bring the next pair to the right of the resultant of subtraction. This one acts as a new dividend.
  • Now, to get the divisor to this iteration's new dividend, twice the previous divisor and annex it with a digit in such a way that the new divisor's (twiced number with annexed digit) product with the annexed digit is less than or equal to the new dividend. If so, just append the annexed number to the previous quotient.
  • Repeat steps 3 and 4 till we get the remainder as 0.

Solution using long division method:

          3 |    10  04  89   |  317

               |    9                  |

      ----------------------------------------

       61    |      1   04         |

               |          61           |

      ----------------------------------------

      627  |           43  89     |

               |           43  89     |

      ----------------------------------------

                                   0

      ----------------------------------------

So, by long division method, the square root of 100489 is 317.

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