Question

9. Find the smallest number by which 27783
must be multiplied so that it becomes a perfect square.
​

Answer 1

Answer:

• 7 is is the no.

Step-by-step explanation:

At we will find the factors of the 27783 and then we will make pairs and a no. which is not in the pair is the smallest no. to multiplied to make 27783 the perfect square .

Calculation Begins :

${\small{\tt{\begin {array}{c|c} 3 & 27783 \\ \hline 3 & 9261 \\ \hline 3 & 3087 \\ \hline 3 & 1029 \\ \hline 7 & 343 \\ \hline 7 & 49 \\ \hline 7 & 7 \\ \hline & 1 \end{array}}}}$

Factors of 27783 = 3 × 3 × 3 × 3 × 7 × 7 × 7

The least no.which should be multiplied by 27783 to make a perfect square = 7

27783 × 7 = 194481

194481 is a perfect square of 441