Question

By what smallest mumber must 180 be multiplied so that it becomes a per
square?
A nd the square root of the number so obtained.by what is smallest number must be 180 be multiplied so that it becomes a perfect square also find the square root and of the number is obtained ​

Answer 1

Answer:

5 and 30

Step-by-step explanation:

Steps:

Given,

Number = 180.

To find the “smallest number” by which 180 will be multiplied to get a “perfect square”, we need to factorize 180 as under:

180=2^2*3^3*5

Now, 5 is not in square. If 5 is in square, then derived number will be perfect square.  

Hence, 180 must be multiplied by 5 to get a “perfect square” as shown below:

2*3*5 = 30

like, 2^2*3^3*5 = 4 * 9 * 25 = 900

√900 = 30