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Is the square root of 99 a rational number?
√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.
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 zero rational or irrational?
The square root of 0 = 0. Rational is defined as a value that can be expressed as a quotient of integers. For example, 0/1 = 0 and 0/2 = 0. Although 0/0 is undefined, the former examples are still true. Therefore, the square root of 0 is rational. For your knowledge, the square root of any number is rational, except for negative numbers, which are irrational. This is because two identical integers cannot be multiplied to produce a negative integer. For instance, the square root of 25 is 5 because 5x5 = 25. However, the square root of -25 has no real roots because neither -5x-5 nor 5x5 = -25.
How do you find an irrational number between the twin primes 5 and 7?
Square them both, find a non-square integer between those two results, and then take the square root of that number. In other words, find a non-square integer between 25 and 49, and since there is only one square number between them, 36, that should be easy; let's pick 42, and then take the square root of it. Ta da! √42 is an irrational number between 5 and 7, its first 30 digits being 6.48074069840786023096596743608.
Is a square root a rational number?
A square root is considered a rational number if the number inside the square root sign is a perfect square. In other words, if the square root of a number results in a whole number, then it is a rational number. For example, the square root of 9 is 3, which is a whole number, making it a rational number. However, if the square root results in a non-terminating, non-repeating decimal, then it is considered an irrational number.
