No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
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 4 is 2. 2 is a rational number so they square root of 4 is rational.
No; the square root of any rational number squared is that rational number. Examples: √(2^2) = √4 = 2. √((1/2)^2) = √(1/4) = 1/2
It could be either. For example, √9 is a rational number, whereas √2 is not.
No. Though every perfect square is a rational number, not every rational number is a perfect square. Example: 2 is a rational number but sqrt(2) is not rational, so 2 is not a perfect square.
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 4 is 2. 2 is a rational number so they square root of 4 is rational.
No. The square of 4√(2) is an imperfect square. But since it is = sqrt(2), it is not rational.
Square root of a rational number may either be rational or irrational. For example 1/4 is a rational number whose square root is 1/2. Similarly, 4 is 4/1 which is rational and the square root is 2 which of course is also rational. However, 1/2 and 2 are rational, but their square roots are irrational. We can say the square root of a rational number is always a real number. We can also say the rational numbers whose square roots are also rational are perfect squares or fractions involving perfect squares.
The square root of 4 is 2 which is a rational number
The square of any rational number is also rational.
No, they are not.
(250)2 = 62,500 Yes, that's a rational number.
The square root of 2, for example, is irrational.sqrt(2)*sqrt(2) = 2 which is rational.
Yes because the square root of 4 is 2 which is a rational number
that depends on the number. sqrt(2) is irrational, sqrt(4)=2 is rational