Question

Find the smallest number by which 2400 is to be multiplied to get a perfect square and also
find the square root of the resulting number.
​

Answer 1

Answer:

Explanation:

2 |2400

2 | 1200

2| 600

2| 300

2| 150

3| 75

5| 25

5 | 5

1

2400= 2×2×2×2×2×3×5×5 (The 2 gets paired with one 2 and the 5 gets paired with one 5). Leaving 2 and 3.

Therefore the smallest number is 2×3= 6, by which 2400 is to be multiplied to get the perfect square.

Resulting number=2400×6=14400

square root of 14400=120

Therefore the ans is 120.

Hope it helps. Mark as brainliest.