Question

Q 1.) using a suitable pattern, evaluation the following.
a. (6667)^2

Q2.) give reason why the following number are not perfect squares .
a. 23,647
b. 14,080
c. 7,98,000
d. 45,00,000
e. 10,583 ​

Answer 1

Answer:

1. 6000×6000 + 6000×600 + 6000×600 + 6000×60 + 6000×60 + 6000×7 + 6000×7 + 600×600 + 600×60 + 600×60 + 600×7 + 600×7 + 60×60 + 60×7 + 60×7 + 7×7

= 44448889

or 6667 × 6667 = 44448889

As we know unit digit of a perfect square always be 1,4,5,6,9 and even no. of zeros.

2. a. the unit digit of this number is 7 so it is not a perfect square.

b. at last ,there is odd number of zeroes .

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