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Answer:
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(1).
Pythagoras triplet means set of three numbers which follow the Pythagoras theorem.
e.g , Let A = {a, b, c} is a Pythagoras triplet. When a² = b² + c², or b²=c²+a², or c² =b²+a² .
How to find triplet .
step1:- Let 2n= 8 , then,n = 4
step2:- largest number of triplet = 4n+1 . From above n =4 put it here,
Largest number of triplet = 4×4+1 = 17
step3:- middle number of triplet= 4n-1 .now put n = 4 , then,Middle number of triplet= 4×4-1 = 15
Hence, Pythagoras triplet is { 8, 15 , 17} .
You can check it .
8² +15² = 17² , follow Pythagoras theorem.
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(2) see attachment
square root of 1127.6164 is 33.58
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(3) see attachment
The smallest square number is 900
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(4)
first we will find the square root of 4931
square root of 4931 = 70.221...
and then find the square of 71
square of 71 = 5041
then subtract 4931 from 5041
5041 - 4931 = 110
so, 110 will be added to 4931 to make it a perfect square.
Hope it helps you :)