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Is the square root of 9 is rational?
Yes 3 is a rational number
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
Is the square root of 81 a rational number?
Yes. It's +9 and -9. They're both rational.
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Why is square root of 9 rational?
3
Why is square root of 9 a rational number and square root of 3 is an irrational number?
Because 9 is a perfect square - which means that its square root is an integer. 3 is not a perfect square.
Is the square root of 22 a rational number?
No, in fact unless an integer has an integral square root, the square root is always irrational. Note that some rational fractions can have rational square roots, though. Example: sqrt(4/9) = sqrt(4)/sqrt(9) = 2/3, which is rational. Or sqrt(9/16) = 3/4
Which square root number is rational?
The square root of any perfect square, or a ratio of perfect squares. eg sqrt(9/25) = 3/5, is rational.
Is the square root of 09 an irrational number?
no the square root of 9 is 3 which is rational since it can be written as 3/1. remember a rational number is any number that can be written as a/b where a and b are integers.
Why is square root of 9 rational?
3
Why cant you assume that a number is irrational because it is expressed using the square root symbol?
Well, for example, the square root of 4 is 2, which is a rational number. As long as the number which is being square rooted is not a square number itself (i.e. 1, 4, 9, 16 etc.), then it will be irrational. So..... the square roots of 49, 100, 196, for example, are all rational numbers (7, 10 and 14 respectively.) They do not have to be integers. The square of of any rational number automatically has a rational square root eg the square root of 77.41792 is 77.4179 . Rational means expressable as a ratio of integers: 77.4179 is 774179/10000 .
Can a negative square root of 9 be both rational and irrational?
an irrarional number is a number that can't be written as a fraction or whole number. -sqrt(9)=-3 This is a whole number so it isn't irrational, just rational
Is the square root of 3 rational?
No, the square root of 3 is not rational.No. The square root of 3 is irrational.More generally: if p is a prime number then the square root of p is irrational and the proof of this fact mimics the famous proof of irrationality of the square root of 2.No - the square root of 3 is not rational, but the proof is too involved to post here.
Is the square root of 9 an irrational number?
No. The square root of 9 is 3. An irrational number is a number that can't be expressed with a fraction, meaning it is not an integer or a whole number. Numbers such as pi or e are irrational. Rational numbers are numbers that can be expressed with a fraction. Hope this helps!
Is the square root of a fraction or decimal always an irrational number?
No. sqrt(4/9) = 2/3 is rational. sqrt(0.64) = 0.8 = 4/5 is rational.
Why is it the square root of 9 is a rational numbers?
The square roots of 9 are ±3. These can be written in the form of ratios ±3/1 and, consequently, are rational numbers.
Is -square 9 an irrational number?
No, it is rational.
