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marin [14]
3 years ago
15

HELP PLEASE!!!!

Mathematics
1 answer:
kumpel [21]3 years ago
3 0

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

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