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Find the least number that must be subtracted from the following number so as to get a perfect square. Also find the square root of the perfect square so obtained. 402 - Mathematics

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प्रश्न

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

402

योग

उत्तर

The square root of 402 can be calculated by the long division method as follows:

  20
2  `bar4  bar02`
-4
40   02
 -00
      2

The remainder is 2. It represents that the square of 20 is less than 402 by 2. Therefore, a perfect square will be obtained by subtracting 2 from the given number 402.

Therefore, required perfect square = 402 − 2 = 400

And `sqrt400` = 20

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Squares and Square Roots - Exercise 6.4 [पृष्ठ १०८]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 6 Squares and Square Roots
Exercise 6.4 | Q 4.1 | पृष्ठ १०८

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