Square root trick when the number ends with 25

Here is a square root trick when the number ends with 25 and the other numbers follow a specific pattern. For example, what is the square root of 2025?

Square root of 2025

Easy, isn't it? The first part of the answer is always 5. This is from the 25. 

The second part of the answer is found by factoring 20.

20 = 5 × 4. Just put the 4 on the left of 5.

Notice that it is always the smaller factor that we put next 5, that is 4.

Now here is the other trick that will help you find all the other square roots with ease.

Add 1 to 5 and add 1 to 4 and then multiply

(5 + 1)(4 + 1) = 6 × 5 = 30

Therefore, the next number you can easily find the square is 3025.

Continuing with this pattern, the next few numbers are 4225, 5625, 7225, and so forth.

The square root of 3025 is 55. Why? Remember that the first part of the answer is always 5. 

The second part of the answer is the smaller factor of 6 × 5, that is 5.

Can you quickly find the square roots of 4225, 5625, and 7225?



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