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The argument why the square root of 2 is irrational can be found in most high school algebra books. You can also find this proof, and several other proofs, that the square root of 2 is irrational, in the Wikipedia article "Square root of 2".The same argument can be applied to the square root of any natural number that is not a perfect square.
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Is the square root of 10 rational or irrational?
Square root of 10 is irrational.
Is the square root of 12.1 a rational number or irrational number?
irrational square root of 121 = 11 square root of 1.21 = 1.1 square root of 12.1 = 3.47...
Is the square root of 4.1 a rational or irrational number?
[ square root of (4.1) ] is irrational. But [ square root of (4) ] is rational.
What is the principal root of 10?
The principal (square) root of 10 is an irrational real number which equals approximately 3.16227766.
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 10 rational or irrational?
Square root of 10 is irrational.
Why is the square root of 1000 an irrational number?
The square root of any non-perfect square is an irrational number. Since sqrt(1000) = 10 sqrt(10), it is irrational.
Is the square root of 100 an irrational number?
no. the square root of 100 is 10.
Is the sum of 18 plus the square root of 10 rational or irrational?
As √10 is irrational, 18 + √10 is irrational.
Is the square root of 10 irrational?
Yes
Is the sum of 18 plus the square root of 10 rational oris the sum of 18 plus the square root of 10 rational or irrational?
It is irrational.
Is the square root of 160 rational or irrational?
The square root of 160 is irrational. This is because 160 can be factored into its prime components as (160 = 16 \times 10 = 4^2 \times 10), and since the square root of 10 is irrational, the overall square root (\sqrt{160} = 4\sqrt{10}) is also irrational. Thus, (\sqrt{160}) cannot be expressed as a fraction of two integers.
Is the square root of 10 divided by 2 rational or irrational?
5
Which of the following is an irrational number square root of 10 square root of two fifths or 5 and 2.5?
The two square roots are irrational.
Is the square root of 10 an irrational number?
Yes.
Some irrational numbers?
square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "
Is they sqare root of 94 irrational or irrational?
The square root of 94 is an irrational number
