use variables to rewrite the following sentences more formally 1. are there numbers with the property that the sum of their squares equals the square of their sum?

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tanvigupta426 tanvigupta426 · Answer 1 · 2022-09-01T14:09:18+02:00

The sum of their squares does not equal the square of their sum. Thus, the statement is not true.

According to the statement

we have to analyse the given statement and tell that the given statement is true or not.

So, For this purpose, we know that the

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

And

Use variables to REWRITE the following sentences more formally.

There are numbers with the property that the sum of their squares equals the square of their sum that will be

Let the two numbers be 'a' and 'b'.

(a + b)² > a² + b²

Now, take a example

And let a = 2 and b = 3.

Then

(a + b)² > a² + b²

(2 + 3)² > 2² + 3²

(5)² > 4 + 9

25 > 13

From this the statement is clear and proved.

Then

No, the sum of their squares does not equal the square of their sum.

So, The sum of their squares does not equal the square of their sum. Thus, the statement is not true.

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