Question

Find the smallest number by which 2646 must be multiplied so that it becomes a perfect square.Also find the square root of the perfent square so obtained?

Answer 1

this is the best way to find out this type of questions

Answer 2

Answer:

6

Step-by-step explanation:

We need to find the smallest number by which 2646 must be multiplied so that it becomes a perfect square.

2 |2646|

3 |1323|

3 |441|

3 |147|

7 |49|

7 |7|

L.C.M = 2 × 3 × 3 × 3 × 7 × 7

We observe that 2 and 3 have no more pairs. Therefore we have to multiply 2646 by 2 × 3 to get a perfect square.

2646 × 6 = 15876

Therefore √15876 = 126

Hence, 6 is the smallest number that should be multiplied with 2646 to get a perfect square.