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Prove that square root of 2 is an irrational number?

Anonymous

∙ 14y ago

Updated: 11/3/2022

The square root of 2 is 1.141..... is an irrational number

Wiki User

∙ 14y ago

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Q: Prove that square root of 2 is an irrational number?

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How can you prove that the square root of three is an irrational number?

Because 3 is a prime number and as such its square root is irrational

Is the square root of 7 irrational or rational?

It is a irrational number. Because the square root of every imperfect square is irrational number.

Is the square root of 26 a rational number or irrational number?

the square root of 26 is a irrational number

Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

Is the square root of 47 a irrational or rational number?

The square root of 47 is an irrational number.

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Related Questions

How can you prove that the square root of three is an irrational number?

Because 3 is a prime number and as such its square root is irrational

Prove the square root of 2 not irrational?

This is impossible to prove, as the square root of 2 is irrational.

How do you prove that root 2 root 3 is an irrational number?

It is known that the square root of an integer is either an integer or irrational. If we square root2 root3 we get 6. The square root of 6 is irrational. Therefore, root2 root3 is irrational.

Is the square root of 6 rational?

No; you can prove the square root of any positive number that's not a perfect square is irrational, using a similar method to showing the square root of 2 is irrational.

Is the square root of a 143 a irrational number?

Yes. The square root of a positive integer can ONLY be either:* An integer (in this case, it isn't), OR * An irrational number. The proof is basically the same as the proof used in high school algebra, to prove that the square root of 2 is irrational.

Is the square root of 7 irrational or rational?

It is a irrational number. Because the square root of every imperfect square is irrational number.

How do you find an irrational square root?

An irrational number is a number that never ends. An example of an irrational square root would be the square root of 11.

Is the square root of 27 a rational or irrational number?

The square root of 27 is an irrational number

Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

Is the square root of 26 a rational number or irrational number?

the square root of 26 is a irrational number

Is they sqare root of 94 irrational or irrational?

The square root of 94 is an irrational number

Why is 37 square root an irrational number?

The same reasoning you may have seen in high school to prove that the square root of 2 is not rational can be applied to the square root of any natural number that is not a perfect square.

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