(–1) = 1. Is –1, a square root of 1?

(–2)² = 4. Is –2, a square root of 4?

(–9)² = 81. Is –9, a square root of 81?

By repeated subtraction of odd numbers starting from 1, find whether the following numbers are perfect squares or not? If the number is a perfect square, then find its square root.

(i) 121 (ii) 55 (iii) 36

(iv) 49 (v) 90

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

(i) 9801 (ii) 99856 (iii) 998001 (iv) 657666025

Without doing any calculation, find the numbers which are surely not perfect squares.
(i) 152 (ii) 257 (iii) 408 (iv) 441

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

Can we say that if a perfect square is of n-digits, then its square root will have digits if n is even of if n is odd?

Without calculating square roots, find the number of digits in the square root of the following numbers.

(i) 25600 (ii) 100000000 (iii) 36864

Estimate the value of the following to the nearest whole number.

(i)    (ii)    (iii)     (iv)

Find the number of digits in the square root of each of the following numbers (without any calculation).

(i) 64 (ii) 144 (iii) 4489

(iv) 27225 (v) 390625

1 = 1, then square root of 1 = ___.