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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.

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Yes - the square roots of all non-perfect square integers (ie the numbers which are 1², 2², 3², ...) are irrational.

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Related Questions

Is the square root of 77 an irrational?

Yes, the square root of 77 is an irrational number. This is because 77 is not a perfect square, meaning it cannot be expressed as the square of a whole number. Therefore, its square root cannot be written as a simple fraction, which is the defining characteristic of irrational numbers.


Is the square root of 77 rational or irrational?

Irrational


What is the square root of 5929?

The square root of 5929 is 77. This is because the square root of a number is a value that, when multiplied by itself, gives the original number. In this case, 77 multiplied by 77 equals 5929. Therefore, the square root of 5929 is 77.


Is 77 a square number?

77 is not the square of an integer. Rounded to five decimal places, its square root is equal to 8.7750.


Why is 8.7 the square root of 77?

It's not the square root of 77.


What is the square root of 77?

The square root of 77, written √77 is ± 8.775 (3 dp)roughly 8.775


What is the square root of 693?

Square root of 693 = 3 square root of 77 or 26.325


How do you remember rational and irrational numbers?

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...).


Is 77 square?

No, 77 is not a square number.


What is the square root to the nearest hundredth of 77?

8.78


What is square root of 5832?

between 76 and 77 76² = 5,776 77² = 5,929 76.36753236814713


How do you simplify the square root of 77 over 9?

sqrt(77)/9 cannot be simplified.