0
Still curious? Ask our experts.
Chat with our AI personalities
Blake
Ezra
ViviAdd your answer:
Earn +20 pts
Are all square roots rational?
No. A number will have a rational square root, only if both the numerator and denominator of the simplified fraction are squares of integers.
Why is the square root of 64 rational?
All integers are rational, because they can be written in the form x / 1, where "x" is the integer.
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 .
Is the square root of four a real number or a rational number or an irrational number or integers or a whole number?
The square root of four is a real number because it is a non-negative number that can be expressed on the number line. It is also a rational number because it can be expressed as the fraction 2/1. In fact, it is both a real number and a rational number, as all rational numbers are also real numbers.
Is the negative square root of 9 rational irrational a whole number or an integer?
It is all of them except for irrational.
