Find the least number by which 15884 must be divided to make it a perfect
square. Also find the square root of the perfect square so obtained.
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Ncert solutions
Grade 8
Mathematics
Science
Chapters in NCERT Solutions - Mathematics , Class 8
Exercises in Squares and Square Roots
Question 5
Q5) Find the least number which must be added to each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained:
(i) 525
(ii) 1750
(iii) 252
(iv) 1825
(v) 6412
Solution
Transcript
Solution:
(i) 525
Since remainder is 41.
Therefore 22^2<52522
2
<525
Next perfect square number 23^2=52923
2
=529
Hence, number to be added
= 529 – 525 = 4
\therefore525+4=529∴525+4=529
Hence, the square root of 529 is 23.
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