Math, asked by badarpur1983, 4 months ago

write the following integers as rational numbers -15,17,85,-100​

Answers

Answered by aadityasingh201205
1

Answer:

A rational number is p/q. Where p and q are integers and q is non zero. If q is 1 then every integer is a rational number. After decimal point a rational number always terminates after a finite number of digits or same sequence is repeated again and again.

Ex. 5/4=1.25 and 50/7=7.1428571428571, 42857. Irrational numbers includes root 2, pie, e etc. The decimal expansion in an irrational number continues with out repeating. Ex. root 2 =1.41421355.

You are asking about root 47 =6.8556546

In it sequence is not repeated as in case of rational number 50/7.

Therefore root 47 is not a rational number

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All rational numbers can be written as p/q, where p & q are any integer except q not= 0. ie numerator & denominator both should be an integer.

And√47 is not a rational number because √47 can not be represented as p/q

√47 = √47/1 here numerator is not an integer..

So, √47 is not a rational but it's an irrational number. Its decimal form is also non-terminating & non- repeating. which is a condition of being irrational..

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Rational numbers are always terminating in nature.

For eg:

√49 = 7

or

√49 = 7/1 (which is p/q form where q is not equals to 0)

Since, √47 is non-terminating, hence it's a irrational number.

I hope it helped.

47 is a prime number . The squareroot of a prime number is always an irrational number because the decimal expansion of these type of numbers is always non recurring non terminating.

Therefore√47 is an irrational number.

√47=6.85565………

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A rational is one which can be written in the form p/q where p,q are integers and q is not equal to 0.

√47 won't satisfy this condition.

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47 prime number.

So (47^0.5) is both irrational and not terminating decimal.

So (47^0.5) is not a rational number as per definition.

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Why is 9 a rational number?

Is the real number 101−−−√ rational or irrational?

Is 2 a rational number?

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Is 38–√ a rational or irrational number?

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Answered by pihu65565
0

Answer:

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