Question

are not perfect squares, Give reasons for each,
(i) 3542
(ii) 900000
(iii) -289
(iv) 64000 (0) 31057
2. Without finding the squares, find the units digit in the squares of the following numbers,
(i) 352
(ii) 9377
(iii) 285
(iv) 4626
(0) 999
3. Without actual calculations, find the following sums.
(i) 1 + 3 + 5 + 7 + 9+ 11​

Answer 1

Step-by-step explanation:

Q1

1.3542 is not a perfect square because square

is ending with 2

2. 900000 is not perfect square because not even number of 0

3. -289 square root is -17

4. 64000 is not perfect square because not even number of 0

5. 31057 is not a perfect square because square is ending with 7

Q2

Note: formula FOR ODD no. of digits( number of digit +1 / 2 )

FOR EVEN no. of digits (number of digit / 2 )

1. 352= 2 digits

2. 9377=2 digits

3. 285=2 digits

4. 4626=2 digits

5. 999= 2 digits

Q3

1+3+5+7+9+11 =36

Answer 2

Answer:

As per the rule a perfect square number cannot end with the number such as 1,2,3,7,8.

But the number 3542 is ending with the number 2

Step-by-step explanation:

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