मराठी

Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained. 1750 - Mathematics

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प्रश्न

Find the least number which must be added to the following number so as to get a perfect square. Also find the square root of the perfect square so obtained.

1750

बेरीज

उत्तर

The square root of 1750 can be calculated by long division method as follows:

  41
4 `bar17  bar50`
-16
81     150
     -81
        69

The remainder is 69.

Clearly, 412 = 1681 < 1750

422 = 1764 > 1750.

Hence, the number to be added is 1764 − 1750 = 14, and the square root of 1764 is 42.

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पाठ 6: Squares and Square Roots - Exercise 6.4 [पृष्ठ १०८]

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एनसीईआरटी Mathematics [English] Class 8
पाठ 6 Squares and Square Roots
Exercise 6.4 | Q 5.2 | पृष्ठ १०८

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