A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?
(Hint: The digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.)

Solution:

Given, the number is a three digit perfect square.

If viewed upside down, the number seen is also a perfect square.

We have to find the number.

The numbers 0, 1 and 8 will look the same when viewed upside down.

The number 6 becomes 9 and 9 bcomes 6 when viewed upside down.

Let us consider a three digit perfect square 196.

Square of 14 = 196

On viewing the number 169 upside down, we get 961

Square of 31 = 961

Therefore, the required three digit perfect square is 169.

✦ Try This: Find the least number which must be added to 1750 to make it a perfect square. Also, find the square root of the perfect square number so obtained.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 141

A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number

Summary:

A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. The number is 169. While viewing upside down, the number is 961.

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