Choose whether the following numbers are rational or irrational. -48/5 √100 √7 11.59 √200

Let’s categorize each number:

1. -48/5 – Rational: It can be expressed as a fraction of two integers (-48 and 5).

2. √100 – Rational: The square root of 100 is 10, which is an integer.

3. √7 – Irrational: There is no exact fraction for the square root of 7; it cannot be expressed as a ratio of two integers.

4. 11.59 – Rational: This can be expressed as 1159/100, a fraction of two integers.

5. √200 – Irrational: While √200 equals 10√2, which cannot be expressed as a fraction of two integers.

So the classifications are:

– Rational: -48/5, √100, 11.59

– Irrational: √7, √200

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