Question

Question 5 (v)
For the following number, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also, find the square root of the square number so obtained:
1458

Answer 1

$1458=2\times 3\times 3\times 3\times 3\times 3\times 3$

Here, prime factor 2 has no pair. Therefore 1458

must be multiplied by 2 to make it a perfect square.

$\therefore 1458\times 2=2916$
And $\sqrt{2916}=2\times 3\times 3\times 3\times =54$

$\begin{array}{cc}2& 1458\\ 3& 729\\ 3& 243\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$