Question

What is the smallest number by which 1800 should be multiplied to make it a perfect square?

Answer 1

2 is the answer …

1800 x 2 = 3600

√3600 = 60

So 3600 = 18 x 2 is a perfect square


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Answer 2

Answer:

2

Step-by-step explanation:

To find the smallest number, we will follow the following steps :-

Step 1 : Find the prime factors of 1800

2 | 1800

2 | 900

2 | 450

3 | 225

5 | 75

5 | 15

3 | 3

  | 1

Step 2 : Find the common factors

2 × 2 × 2 × 3 × 3 × 5 × 5

= 2 × 3 × 5

Step 3 : Find the uncommon factors

2 × 2 × 2 × 3 × 3 × 5 × 5

= 2

∴ The smallest number is 2

Let's check :-

1800 × 2

⇒ 3600