Finding Square of a Number with Unit's Place 5

Q. What is the first three digits in the square of 135?

1. 128
2. 821
3. 182
4. 218

Q.

Now compute the square root of these by factorization.

(i) 3025

(ii) 2304

(iii) 9604

(iv) 6561

Q. What will be the unit digit of the squares of the following numbers ?

i) 81

ii) 272 [2 MARKS]

Q.

How many digits are there in 4^4^2+5^5^2

Q.

Next try your hand all these problems:

De Morgan was a mathematician who lived in the nineteenth country. He once said, “In the year x² my age was x.” In which year was De Morgan born?

Q. Write the possible unit's digits of the square root of the following numbers. Which of these numbers are odd square roots?
(i) 9801
(ii) 99856
(iii) 998001
(iv) 657666025