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Yes because it can't be expressed as a fraction

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9y ago
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Q: Is the sum of 2 plus the square root of 2 irrational?
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Related questions

Is the sum of 18 plus the square root of 10 rational oris the sum of 18 plus the square root of 10 rational or irrational?

It is irrational.


Is 1 plus the square root of 7 rational or irrational?

The square root of any positive integer can only be a WHOLE NUMBER or IRRATIONAL, so the square root of 7 is irrational.On the other hand, the sum of a rational and an irrational number is always irrational.


Is the sum of 18 plus the square root of 10 rational or irrational?

As √10 is irrational, 18 + √10 is irrational.


Is 7 plus the square root of 5 irrational and why?

7 plus the square root of 5 is an irrational number because the square root of 5 is a never ending decimal number that can't be expressed as a fraction.


Why an irrational number plus an irrational number equal a rational?

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.


Is the sum of square root 2 and square 5 irrational?

Yes.


The difference of two irrational numbers is an irrattinal number?

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.


Is the sum of square root 2 and square 5 irrational why?

just give me an answer! K? Thanks!


Are there two irrational number whose sum and production are rational?

Yes, for example: square root of 2, and the negative of the square root of 2.


What is the square root of 2 plus square root of 7?

Square root of 2 = 1.414213562... Square root of 7 = 2.645751311... The sum is 4.059964873...


Why cant you get the square root of the sum of numbers?

You can. Just add the numbers together, and find their square root. One plus three is four; the square root of the sum is two.


What is the sum of the square root of 75 plus the square root of 48?

Assuming the roots are positive, then ~ 15.59.