Question

4. find the square root of the resu Find the smallest number by which 7776 is to be divided to get a perfect square.​

Answer 1

From the above factorization, we can observe that both 2 and 3 are not in pair, hence to make the number 7776 perfect square we need to multiply it by product of 2 and 3 that is 6. Thus, the number 7776 is multiplied by 6 to get a perfect square.

Answer 2

Step-by-step explanation:

Step:1    Resolve 7776 into prime factors

7776=2×2×2×2×2×3×3×3×3×3

step:2 By pairing the factors obtained

⇒7776=(2×2)×(2×2)×(3×3)×(3×3)×2×3

Step:3 Dividng the number woth the factor which are alone.

Here,2,3 are in pairs and 3,2 are alone.

⇒3×2=6

⇒  $\frac{7776}{6}$ =1296

Hence, 6 is the smallest number which is to be multiplied to the given number to get perfect square.