Question

Find the square of 65 without actual multiplication

Answer 1

65e2
= (100-35)^2
= (100)^2 + (35)^2 + 2 (100)(35)
= 10000 + 1225 + 7000
= 18225

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Answer 2

It's any easy trick, but only valid for all those numbers ending in 5.
To find the square, just write the 25 (5²)at the end and muliply the number excluding 5 with its successor.

For example-
1)Calculating squrare of 5,
Here, last digit is 5, so write 25 at the end.
Now, multiply 0 with its successor i.e. 1 (0*1 = 0)
so, 5² = 025

2) Calculating square of 15,

Here, last digit is 5, so write 25 at the end.
Now, multiply 1 with its successor i.e. 2(1*2= 2)
so, 15² = 225.

Let's calculate square of 65,
Just write 25 at the end, and multiply 6 with its successor i.e. 7 (6*7 = 42).
65² = 4225.

Hope it helped you!