Answered

1.) Is this number rational or irrational?
[tex] - \frac{ \sqrt{3} }{5} + 10.8[/tex]
2.) Is this number rational or irrational?
[tex] \sqrt{3} [/tex]

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Answer :

Answer:

1) Irrational.

2) Irrational.

Step-by-step explanation:

We have been given two numbers. We are asked to determine whether the given numbers are rational or irrational.

We know that a number is a known as rational number, when we can represent it as a fraction or it has terminating decimals.

A number is a known as rational number, when it has non-repeating and non-terminating decimals.

1). [tex]-\frac{\sqrt{3}}{5}+10.8[/tex]

[tex]-0.3464101615137755+10.8=10.4535898384862245[/tex]

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

2) [tex]\sqrt{3}=1.7320508075688773[/tex]

Since our given number has non-repeating or non-terminating decimal, therefore, given number is an irrational number.

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