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1.
2. 8
3. (17)³ = unit place 7³ = 343 => 3 in last . Hence, digit is at one's place in cube of 17 will be 3.
4. true
5. Prime factors of 100 = 2×2×5×5
Here factor 2 and 5 both do not appear in 3’s group.
Therefore 100 must be multiplied by 2×5= 10 to make it a perfect cube.
6. one member of triplet = 12
let 2m = 12
m = 6
let m² - 1 =
= (6)² - 1
= 36 - 1
= 35
let m² + 1
= ( 6 ) ² + 1
= 36 + 1
= 37
The Pythagorean triplet whose one number is 12 is 12,35,37
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