Question

Answer them

1. Find the square of :
(i) 59 (ii) 6.3 (iii) 53

2. By splitting into prime factors, find the square root of :
(i) 11025 (ii) 396900 (iii) 194481

(i) Find the smallest number by which 2592 be multiplied so that the product is a perfect square.

(ii) Find the smallest number by which 12748 be multiplied so that the product is a perfect square.

Answer 1

Dear Student,


$$\begin{gathered} 1. \\ {59}^2=3481 \\ 6.3^2=39.69 \\ {15}^2=225 \\ 2. \\ 11025=3\times 3\times 5\times 5\times 7\times 7 \\ \sqrt{11025}=3\times 5\times 7=105 \\ 396900=2\times 2\times 3\times 3\times 3\times 3\times 5\times 5\times 7\times 7 \\ \sqrt{396900}=2\times 3\times 3\times 5\times 7=630 \\ 194481=3\times 3\times 3\times 3\times 7\times 7\times 7\times 7 \\ \sqrt{194481}=3\times 3\times 7\times 7=194481 \end{gathered}$$

Regards,