Choose whether the following numbers are rational or irrational. Rational Irrational -49/5 √100 √7 11.59 √200

Let’s go through each of the numbers you’ve listed:

1. -49/5: Rational. This is a fraction, and all fractions where the numerator and denominator are integers (and the denominator is not zero) are rational numbers.

2. √100: Rational. The square root of 100 is 10, which is a whole number and thus a rational number.

3. √7: Irrational. The square root of 7 cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

4. 11.59: Rational. This number can be expressed as a fraction (1159/100), so it is rational.

5. √200: Irrational. The square root of 200 simplifies to 10√2, and since √2 is irrational, √200 is also irrational.

In summary:

– Rational: -49/5, √100, 11.59

– Irrational: √7, √200

If you have more questions or need further assistance, feel free to ask!