Question

Show that each of the following numbers is a perfect square. Also find the numberwhose square is the given number.(i) 1296(ii) 1784(iii) 3025(iv) 3969​

Answer 1

Answer:

Step-by-step explanation:

(i) 1296 = 2^4 * 3^4.

Square root = 2^2 * 3^2 = 36.

(ii) 1784 = 2^3 * 223 . (Not a perfect square)

    1764 = 2^2*3^2*7^2

    Square root = 2*3*7 = 42

(iii) 3025 = 5^2 * 11^2

Square root = 5*11 = 55

(iv) 3969 = 3^4*7^2

Square root = 3^2*7 = 63