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 .a)525. b) 1750. c)252. d) 1825 e)6412. (NCERT 8 class) explain step wise.
Answers
Answer:
a) 4
b) 14
c) 4
d) 24
e) 149
Square roots:
a) 23
b) 42
c) 16
d) 43
e) 81
Step-by-step explanation:
We have to find the least number, which must be added to the given number to get the perfect square.
a) 525
Since , 525 is very close to 529 which is a perfect square;
So, the difference which we will get is 4;
And the square root of the perfect square 529 is 23.
b) 1750
Since , 1750 is very close to 1764 which is a perfect square;
So, the difference which we will get is 14;
And the square root of the perfect square 1764 is 42.
c) 252
Since , 252 is very close to 256 which is a perfect square;
So, the difference which we will get is 4;
And the square root of the perfect square 256 is 16.
d) 1825
Since , 1825 is very close to 1849 which is a perfect square;
So, the difference which we will get is 24;
And the square root of the perfect square 1849 is 43.
e) 6412
Since , 6412 is very close to 6561 which is a perfect square;
So, the difference which we will get is 149;
And the square root of the perfect square is 81.
Answer:
See this photo to understand the concept it is very easy
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