What could be the possible ‘one’s’ digits of the square root of each of the followingnumbers?

(i) 9801 (ii) 99856

(iii) 998001 (iv) 657666025

Without doing any calculation, find the numbers which are surely not perfect squares.

(i) 153 (ii) 257

(iii) 408 (iv) 441

Find the square roots of 100 and 169 by the method of repeated subtraction

Find the square roots of the following numbers by the Prime Factorization Method

(i) 729 (ii) 400

(iii) 1764 (iv) 4096

(v) 7744 (vi) 9604

(vii) 5929 (viii) 9216

(ix) 529 (x) 8100

For each of the following numbers, find the smallest whole number by which it shouldbe multiplied so as to get a perfect square number. Also find the square root of thesquare number so obtained.

(i) 252 (ii) 180

(iii) 1008 (iv) 2028

(v) 1458 (vi) 768

For each of the following numbers, find the smallest whole number by which it shouldbe divided so as to get a perfect square. Also find the square root of the squarenumber so obtained.

(i) 252 (ii) 2925

(iii) 396 (iv) 2645

(v) 2800 (vi) 1620

The students of Class VIII of a school donated Rs 2401 in all, for Prime Minister’s National Relief Fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class

2025 plants are to be planted in a garden in such a way that each row contains asmany plants as the number of rows. Find the number of rows and the number of plants in each row

Find the smallest square number that is divisible by each of the numbers 4, 9 and 10

Find the smallest square number that is divisible by each of the numbers 8, 15 and 20