Question

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

Answer 1

$\bold{\huge{\fbox{\color{Green}{Answer}}}}$

180 = 2 × 2 × 3 × 3 × 5

So, we need one more 5 to make it a perfect square.

So, the smallest number by which 180 must be multiplied to make it perfect square is 5

Then the number is

=> 180 × 5 = 900

==> √900 = 30

Answer 2

Answer:

Step-by-step explanation:

Let's factorise the given number.

180 = 2×2×3×3×5,

Now if we make every number in pair we can see that only 5 could not be in pairs.

Therefore, 5 should be multiply to make the given number perfect square.

180*5,

900,

Now, square root of obtained number 900 is:

30.

Hope it helps.