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If you are expected to calculate it without a calculator then the first step is to write the fraction as a ratio - a top heavy one if necessary. You will find that the numerator and denominator of the rational fraction are both perfect square numbers. Then the square root of the ratio is the ratio of the square roots.
For example, to find the square root of 11.11... recurring.
You know that, since it is a recurring decimal, the number is rational.
In ratio form, this number is 100/9 and so
sqrt(11.11...) = sqrt(100/9) = sqrt(100)/sqrt(9) = 10/3 = 3.33... recurring.
What else can I help you with?
Is the square root of 729 rational?
The square root of 729 is 27.Yes, it is a rational number because 27 can be written as simple fraction, 27/1.
Is the square root of 36 rational or irrational?
The square root of 36 is 6 which is a rational number because it can be expressed as an improper fraction in the form of 6/1
Is the square root of 38 a rational number?
No because it can't be expressed as a fraction
Is the square root of 0.144 rational?
Well, honey, the square root of 0.144 is approximately 0.12, which is a rational number because it can be expressed as a fraction (12/100). So, yes, the square root of 0.144 is indeed rational. Hope that clears things up for ya!
Is the square root of 47 a rational number?
'47' is a prime number, so it does not have a rational square root. sqrt(47) = 6.8556546... to 9 d.p. An irrational number which cannot be converted to a quotient; that is made into a fraction. NB The square roots of prime numbers are irrational.
Is the square root of a fraction a rational number?
Only if the square root of the numerator and the square root of the denominator are both rational numbers.
Is the square root of a fraction rational?
Not always
Is the square root of three rational?
The square root of 3 is not a rational number because it can't be expressed as a fraction.
Is the square root of fraction 196225 irrational or rational?
If you mean the square root of 196/225 then it is 14/15 which is a rational number because it can be expressed as a fraction.
Is the square root 102 rational or rational?
The square root of 102 is an irrational number because it can't be expressed as a fraction.
Is the square root of 0.36 rational?
Yes, the square root of 0.36 is rational. The square root of 0.36 is 0.6, which can be expressed as a fraction (6/10 or 3/5). Since it can be represented as a fraction of two integers, it is classified as a rational number.
Why is it that square root of 361 is rational?
The square root of 361 is rational because it can be expressed as a fraction of two integers. Specifically, the square root of 361 is 19, which is an integer. Since all integers are also rational numbers (they can be written as a fraction with a denominator of 1), the square root of 361 is classified as a rational number.
Is square root of 1.21 a rational?
Yes, the square root of 1.21 is a rational number. The square root of 1.21 is 1.1, which can be expressed as a fraction (11/10). Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, 1.1 qualifies as rational.
How do you turn a square root into a fraction?
In most cases you cannot since the square root is an irrational number, unlike a fraction which is rational.
Is the square root of 25 a rational number?
Yes, the square root of 25 is a rational number. A rational number is any number that can be expressed as a fraction of two integers. The square root of 25 is 5, which can be expressed as the fraction 5/1. Therefore, 5 is a rational number.
Is the square root of 432.8 rational?
The square root of 432.8 is 20.80384579831335. This is not a rational number.
Is 169 square root irrational or rational?
The square root of 169 is 13, which is a whole number. Since whole numbers are considered rational numbers (they can be expressed as a fraction with a denominator of 1), the square root of 169 is rational.
