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Express the prime number 19 as the difference of two squares? 19 =​

User Jlaceda
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2 Answers

1 vote

Answer:

The two squares are 81 and 100, and their difference is 19

User Ndr
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3.4k points
0 votes

Explanation:

Hey there!

Let's take out the square of 1st ten natural numbers to find out the exact answer.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

Now; You can take any of these numbers and subtract from their squares.

So, let's check 6² and 5²

36-25 = 11 which is not equal to 19

Again check for 10²-9²

100 - 81 = 19 (True value)

Therefore, 19 can be expressed as the difference of square of 10 and 9.

Hope it helps!

User Triggs
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3.1k points