Question

Find the smallest number by which 7776 is to be divided to get a perfect square

Answer 1

factors of 7776=2*2*2*2*2*3*3*3*3*3
 the no. to be divided to get perfect sq from  7776 = 2*3                                                                                                                    = 6 ans
                                  the perfect sq after dividing 7776 by 6 = 1296

Answer 2

Answer:

The required smallest number is 6.

Step-by-step explanation:

To find : The smallest number by which 7776 is to be divided to get a perfect square ?

Solution :

First we factor the term,

$7776=2\times 2\times2 \times 2 \times 2 \times 3\times3\times 3\times3\times3$

Making a pair of square,

$7776=2^2\times 2^2\times 3^2\times3^2\times2\times3$

As 2 and 3 left alone which means if we divide with their multiple we get the required number.

Divide by $2\times 3=6$

$\frac{7776}{6}=\frac{2^2\times 2^2\times 3^2\times3^2\times2\times3}{6}$

$1296=(2\times 2\times 3\times3)^2$

$1296=(36)^2$

Therefore, The required smallest number is 6.