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Q: 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?

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No. A rational plus an irrational is always an irrational.

irrational

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.

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

No. 1) The square root of any positive integer that doesn't happen to be a perfect square is IRRATIONAL.2) If you add a rational and an irrational number, the result is irrational.

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.

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.

It is an irrational number because it can't be expressed as a fraction

Yes. In fact, a rational plus or minus an irrational will always be irrational.

10+0.01 = 10.01 and it is a rational number

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

rational. if it can be expressed as a fraction, it is rational.

Yes

Yes.

Yes, always.

No, never.

The sum is a rational number.

15 + 0.07 is rational.

No, the answer would be irrational

They add up to 17.02 which is rational number

It is irrational, just like pi

No. The sum of an irrational number and any other [real] number is irrational.

It can be written as a fraction, so it is rational.

It is irrational.

No. The square root of 49 is plus or minus 7, both of which are integers. And integers are rational numbers - whether they are positive or negative.