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# Is the square root of 99 a rational number?

Wiki User

2011-02-26 00:01:03

√99 = Square root of 99 = Irrational.

Rational # are able to be expressed as the ratio of 2 integers.

i.e. √25 = +5

5 = 5/1 = rational

Irrational # can not be expressed as a ratio of 2 integers.

Christian Coello

Lvl 2
2021-05-27 17:12:10
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Lvl 1
2021-05-28 07:06:04
thanks!!!

Merlin Ankunding

Lvl 1
2021-05-28 08:05:55
Can you explain how you got that

Verlie Corwin

Lvl 1
2021-05-28 16:06:01

Christian Coello

Lvl 1
2021-05-28 16:08:39
The question is: Is √99 rational, or irrational.

Christian Coello

Lvl 1
2021-05-28 16:10:51
It must be understood what is a rational number, and what is an irrational number. In addition, you must be familiar with the square root mathematical function. The square root function inquires into a number that when multiplied by itself

Christian Coello

Lvl 1
2021-05-28 16:12:23
x amount of times, equals the original number under the square root. i.e. √81 = 9*9. So, the square root of 81 is 9, because 9 times 9 (itself) equals 81.

Christian Coello

Lvl 1
2021-05-28 16:15:45
Now, in my latest example, √81 = 9, you realize the number 9, can be expressed as a ratio of 2 integers, (a whole number w/o decimal or fraction). 9/1 = 9. The original question, √99, does not have an even integer answer. √99 = 9.9498743.

Christian Coello

Lvl 1
2021-05-28 16:19:12
And thus, 9.9498743 can not be rewritten as a neat ratio of two integers, which means that it is IRRATIONAL. If my written explanation is confusing, I suggest search Khan Academy's topic of Rational/Irrational numbers.
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Wiki User

2011-02-26 00:01:03

Yes, it is.

Christian Coello

Lvl 1
2021-05-27 17:14:02
This comment should not be the top answer. Square root of 99 is not rational, it is an irrational number.

Anonymous

Lvl 1
2020-09-14 16:01:43

No Its not

Anonymous

Lvl 1
2020-10-01 07:17:09

Rational