Question

Q10) Find the least possible number by which 166012 should be divided to make it a perfect square. Hence find the square root of the resulting number. ​

Answer 1

Answer:

Step-by-step explanation:

Prime factorisation of 166012.

166012

/     \

2    83006  

/       \

2      41503  

/       \

7      5929  

/       \

7      847  

/       \

7      121  

/       \

11      11  

/       \

11      1

Prime Factors of 166012 =2x 2x 7x 7x 7x 11x 11

                                        = 2²x 11² x 7² x 7

Here we can see that the numbers 2, 11 and 7 are in pairs and  there is a seven.. wic can't be paired.

⇒ The number 166012 should be multiplied by 7 to make it a prefect square.

       Hope it is helpful. Take care.