Question

Find the smallest number by which 300 must be multiplied so that it becomes a perfect square. Also, find
square root of the perfect square so obtained.
and give explanation
​

Answer 1

Answer:

60

Step-by-step explanation:

1800 = 2 |1800

2 |900

2 |450

3 |225

3 |75

5 |25

5 |5

| 1

=2×2×2×3×3×5×5

=so we should multiply it by 2

=2×2×3×5

=60

Answer 2

Answer:

3 and 30

Step-by-step explanation:

LCM of 300

2 X 2 X 3 X 5 X 5

Now we know to be perfect square every number should be in pair.

So we can see from above their is only one (3) is present.

So we will multiply a (3) to make it a pair.

So,

3 is the number which will be multiplied.

And the number will be 3 X 300 = 900

To find square root, we use number from each pair then multiply

So, one number from each pair

2 X 3 X 5 = 30

HOPE IT HELPS YOU