No, 1 and 121 cannot.
A number which can not be expressed as a ratio of two integers is "irrational". Irrational numbers can not be expressed on paper through conventional means. Examples of irrational numbers are: pi Euler's number (e) Any square root of an integer which isn't a perfect square.
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions such as the square root of 2
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
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.
12+22+32+42+52+62 = 1+4+9+16+25+36= 91
No. The square root of 9 is 3. An irrational number is a number that can't be expressed with a fraction, meaning it is not an integer or a whole number. Numbers such as pi or e are irrational. Rational numbers are numbers that can be expressed with a fraction. Hope this helps!
An irrational number can not be expressed as a fraction such as the square root of 2
An irrational number is a number that can not be expressed as a fraction as for example the square root of 2
A number which can not be expressed as a ratio of two integers is "irrational". Irrational numbers can not be expressed on paper through conventional means. Examples of irrational numbers are: pi Euler's number (e) Any square root of an integer which isn't a perfect square.
No, not all square roots are rational numbers. A rational number is a number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. Square roots that are perfect squares, such as √4 or √9, are rational numbers because they can be expressed as whole numbers. However, square roots of non-perfect squares, such as √2 or √3, are irrational numbers because they cannot be expressed as a simple fraction.
A rational number can be expressed as a fraction, with whole numbers in the numerator and the denominator, for example 2/3, -3/4, or 5 (which is equal to 5/1). An irrational number can not be expressed as such a fraction. For example, the square root of 2, the square root of any positive integer that is not a perfect square, pi, the number e.
'47' is a prime number, so it does not have a rational square root. sqrt(47) = 6.8556546... to 9 d.p. An irrational number which cannot be converted to a quotient; that is made into a fraction. NB The square roots of prime numbers are irrational.
Expressed as a sum of square numbers, 29 is equal to ±52 + ±22
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions such as the square root of 2
Real numbers are any numbers that could be on a number line. Rational numbers are numbers that can be expressed as fractions. Real irrational numbers are things like pi or the square root of 2.
If the square root is a whole number, then the square of the square root, the original number, is also a whole number; all whole numbers can be expressed as themselves over 1, and so are rational numbers. The answer is thus any square number, ie the square of the natural numbers: 1 (1²), 4 (2²), 9 (3²), 16 (4²), etc.
An irrational number can not be expressed as a fraction as for example the square root of 2