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is the square root of 11 irrational

by Raymond Auer Published 3 years ago Updated 2 years ago

Sal proves that the square root of any prime number must be an irrational number. For example, because of this proof we can quickly determine that √3, √5, √7, or √11 are irrational numbers.

Why √ 11 is an irrational number?

The value of √11 is 3.31662479036... As we know that a decimal number that is non-terminating and non-repeating is also irrational. The value of root 11 is also non-terminating and non-repeating. This satisfies the condition of √11 being an irrational number.

Is square root 11 irrational or rational?

irrational numberThus, √11 is an irrational number.

Is 11 rational irrational whole or natural?

The square root of 11 is not equal to the ratio of two integers, and therefore is not a rational number.Nov 21, 2017

Is 11 a irrational?

11 is not an irrational number because it can be expressed as the quotient of two integers: 11 ÷ 1.

Is 11 a perfect square?

11 is not a perfect square.

Is 11.3 rational or irrational?

Answer. 11 is a rational number because it can be expressed as the quotient of two integers: 11 ÷ 1.

What number is the square root of 11 between?

List of Perfect SquaresNUMBERSQUARESQUARE ROOT8642.8289813.000101003.162111213.31796 more rows

What is the value of under root 11?

3.31662479036To find the square root of 11, use the long division method to get the approximate value. Therefore, √11 = 3.31662479036.

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