Question

find the smallest whole no. by which the no. 1008 should be multiplied so as to get a perfect square no. also find the square root to the square no. so obtained

Answer 1

hi,

the solution is in photo I uploaded

here,
the number multiplied = 7
and the squared number ( square root) = 14

you can recheck this by multiplying × 7
and find the square root number

bye
hope you like it
mark me brainiest

Answer 2

★ Firstly we have to doing prime

  factorisation of 1008, we get

$\begin{array}{r | 1} 2 & 1008 \\ \cline{2-2} 2 & 504 \\ \cline{2-2} 2 & 252 \\ \cline{2-2} 2 & 126 \\ \cline{2-2} 3 & 63 \\ \cline{2-2} 3 & 21 \\ \cline{2-2} 7 & 7 \\ \cline{2-2} & 1\end{array}$

1008 = 2×2  ×  2×2  ×  3×3  ×  7

★ We see from above that 7 has not any pair

 Thus, we have to multiply 1008 by 7 so as

  to make it perfect square.

★ So the number which obtain on multiplying

   1008 by 7 = 1008 × 7

                = 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7

               = 7056

7056 = (2 × 2) × (2 × 2) × (3 × 3) × (7 × 7)

        = 2² × 2² × 3² × 7²

        = 84²

★ Therefore 1008 on multiplying with 7

    becomes a perfect square of 84