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.
It can be written as a fraction, so it is rational.
± 77
8.78
Geometric Mean of two numbers is the square root of their product, in this case root 77 ie 8.775
77 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
A rational number is one that can be expressed as a ratio or a fraction: 1:5, 2/7, 23/77. An irrational number cannot. If you can write it as a decimal which ends or repeats, it is rational. Typical irrational numbers are things like pi (3.1415926535...), e (2.71828...), and most square roots (root 2 = 1.4142...).
Rational, 7.7 is 7 7/10, or 77/10.
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.
It's not the square root of 77.
It can be written as a fraction, so it is rational.
The square root of 77, written √77 is ± 8.775 (3 dp)roughly 8.775
Square root of 693 = 3 square root of 77 or 26.325
± 77
77 is not the square of an integer. Rounded to five decimal places, its square root is equal to 8.7750.
8.78
between 76 and 77 76² = 5,776 77² = 5,929 76.36753236814713