No:
Let r be some irrational number; as such it cannot be represented as s/t where s and t are both non-zero integers.
Assume the square root of this irrational number r was rational.
Then it can be represented in the form of p/q where p and q are both non-zero integers, ie √r = p/q
As p is an integer, p² = p×p is also an integer, let y = p²
And as q is an integer, q² = q×q is also an integer, let x = q²
The number is the square of its square root, thus:
(√r)² = (p/q)² = p²/q² = y/x
but (√r)² = r, thus r = y/x and is a rational number.
But r was chosen to be an irrational number, which is a contradiction (r cannot be both rational and irrational at the same time, so it cannot exist).
Thus the square root of an irrational number cannot be rational.
However, the square root of a rational number can be irrational, eg for the rational number ½ its square root (√½) is not rational.
The square root of 71 is an irrational number
The square root of 47 is an irrational number.
the square root of 26 is a irrational number
It is a irrational number. Because the square root of every imperfect square is irrational number.
The square root of 37 is an irrational number
The square root of 29 is an irrational number.
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
The square root of 1.44 is 1.2 which is a rational number
The square root of 11 is irrational. An irrational number is a number that cannot be expressed as a simple fraction or ratio of two integers. In the case of the square root of 11, it is a non-repeating, non-terminating decimal and cannot be simplified further. Therefore, it falls under the category of irrational numbers.
The square root of 71 is an irrational number
The square root of 47 is an irrational number.
It is rational. The root of a perfect square, such as 4, is rational; the root of any positive integer that is not a perfect square is an irrational number.
the square root of 26 is a irrational number
It is a irrational number. Because the square root of every imperfect square is irrational number.
The square root of 2 is an irrational number
The square root of 32 is an irrational number
The square root of 3 is an irrational number