No.
4/9 is not a perfect square but radical(4/9) = 2/3 is rational.
No. The square roots of perfect squares are rational.
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.
It is a rational number - as are ALL perfect squares.
All terminating and repeating numbers are rational.the square root of non perfect squares and pi are irrational.
No they are not. The numbers Pi and e are irrational and are not radicals. There are many others.
That isn't possible. Rational numbers either terminate or have a repeating pattern, and irrational numbers are all the rest. Perfect squares terminate, therefore they are rational.
The square root of 97 is an irrational number. This is because the square root of 97 cannot be expressed as a fraction of two integers. In other words, the decimal representation of the square root of 97 goes on forever without repeating, making it an irrational number.
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.
Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.
Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.
77 is not a perfect square. Another way to look at it is this (use a calculator) sqrt(77) ~= 8.774964387 Notice how there is no point where the numbers begin to repeat themselves (e.g., 1.222322232223) Both reasons tell us that sqrt(77) is an irrational number. ----------- Yes - the square roots of all non-perfect square integers (ie the numbers which are 1², 2², 3², ...) are irrational.
No. Square root of 9=3. 3=3/1. Therefore not all square roots are irrational