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Answers
Answer:
1.
(a) 9 [∵(3)²=9]
(b) 1 [∵(1)²=1]
(c) 6 [∵(6)²=36]
(d) 1 [∵(9)²=81]
(e) 9 [∵(7)²=49]
(f) 4 [∵(2)²=4]
2.
Only, (b) is a perfect square number
(a) √7928 is not a natural number.
[∵ √7928=√[991×8, where 991 is not a perfect square, being a prime number]
(b) √1024=32. So, yes.
[∵√1024=√[2×2×2×2×2×2×2×2×2×2]
(c) √20000 is not a natural number.
[∵√20000=√[2×2×2×2×2×5×5×5×5]= 100√2]
(d) √42875 is not a natural number.
[∵√42875=√[5×5×5×7×7×7]=35√35]
(e) √438967 is not a natural number.
[∵438967 has no factors other than 1]
(f) √493039 is not a natural number.
[∵493039 has no factore other than 1]
3.
(a) (12)²=144 and, (13)²=169
So, numbers between 169 and 144 are:
169–144–1=24 numbers
(b) (25)²=625 and, (26)²=676
So, 676–625–1=50 numbers
(c) (8)²=64 and, (9)²=81
So, 81–64–1=16 numbers
Hey, the answer which you have marked as Brainliest to the question which I had also answered is wrong. First read the answers properly, then mark. Read it once and you will get to know. It's 2 not -2