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I'm having problems with online school where the teacher's don't help the online students but only helps the face-to-face studentAny help would be appreciated

Im Having Problems With Online School Where The Teachers Dont Help The Online Students But Only Helps The Facetoface StudentAny Help Would Be Appreciated class=

Sagot :

The irrational numbers are the ones that can not be expressed as a fraction of two integers.

For example, pi or the square root of 2 are irrational numbers.

In set a, we have pi, that is irrational.

In set b, we have the square root of 80, that is a multiple of the square root of 5:

[tex]\sqrt[]{80}=\sqrt[]{16\cdot5}=\sqrt[]{16}\cdot\sqrt[]{5}=4\sqrt[]{5}[/tex]

As the square root of 5 is irrational, then their multiples are also irrational.

In set c, we have the square root of 100, that have a rational solution.

[tex]\sqrt[]{100}=10[/tex]

In set d, we have a periodic number. The periodic numbers, although having infinite decimals, can be expressed as fractions, so they are rational.

This set has all rational numbers.

Answers: set d and set c.

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