Question

By what smallest number must 180 be
multiplied so that it becomes a perfect
square? Also find the square root of the
no. so obtained​

Answer 1

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

180 = 2*90

= 2*9 *10

= 2*3*3 *2*5

= 2² 3² *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:

180 =2² *3² 5² = 4*9*25 = 900

Now, the square of 900 = 30

Answer 2

Answer:

answer is 30

Step-by-step explanation:

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