Question

obtalnea.
3.
By what smallest number must 180 be multiplied so that it becomes a perfet
square? Also, find the square root of the number so obtained.
10​

Answer 1

Answer:

30

Step-by-step explanation:

180= (2×2)×(3×3)×5

to make pair of same factor we need one more 5

so 180 should multiply by 5

then it become

180×5 = (2×2)×(3×3)×(5×5)

then √900= 2×3×5=30

the square root of the number so obtained = 30

Answer 2

1st we will take out the factors of 180,

then, the factors we got are 2,2,5,3,3,

we have a set of 2 and 3.

Now we want one more 5 to make a set.

So,if we multiply 5 by 180 we will get 900,

and which is a perfect sqare.

square root of 900 is 30..