(10)
(id
(iv
1. Show that the following numbers are not perfect squares.
54473
ii) 4058
(iii) 24257
2. What will be the units digits of the squares of the following numbers?
(0) 1234
(ii) 4329
(iii) 8723
5. Which of the following squares end with digit 1?
(i) (37)
ii) (321)
(iii) (549)
. Determine whether the squares of the following numbers are odd or even :
JO 2826
(ii) 7779
(iii) 30018
How many natural numbers lie between the squares of the following numbers
(1) 25 and 26 (i) 19 and 20
Find the squares of the following numbers without actual multiplication.
(6) 65
(iii) 205
THAGOREAN TRIPLET
(ii) 95
b, c are three numbers where c > a and c> b such that a + b = c², then (a, b, c) is cal
example : (3, 4, 5), (6, 8, 10) and (5, 12, 13) are Pythagorean triplets, because
(1) (3)2 + (4)2 = (5) (ii) (6)2 + (8)2 = (10)
(5)2 + (12) (13)
for any number m > 1, 2m, m?-1 and m² +1 is a Pythagorean triplet.
ple: Write a Pythagorean triplet whose one member is
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