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Are square roots real numbers

Updated: 4/28/2022
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13y ago

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Yes, if the number whose square root we are taking is greater than 0. Only if you try to take the square root of a negative number will you get back an imaginary number.

Square roots are often irrational, but that's different from real versus imaginary.

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13y ago
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Q: Are square roots real numbers
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Related questions

What are positive square roots called?

They are called real numbers. Negative square roots must be complex numbers.


Are real numbers closed under the square root operation?

No. Negative numbers are real but their square roots are not.


What are non examples of real numbers?

The square roots of negative numbers.


What the square roots of -256?

There are no real square roots of -256. But using complex numbers the square roots of -256 are 16i and -16i.


What is the square root of -43?

Negative numbers have no real square roots. In terms of complex numbers, the square roots of 43 are +j6.5574 (rounded) and -j6.5574 (rounded)


How many square roots do negative numbers have?

Negative numbers do not have "real number" square roots.However, they will have two roots (when using imaginary numbers) as do other numbers, where a root including i(square root of -1) is positive or negative.


What is the real number root of sqrt -144?

Negative numbers have no real square roots.-144 has two square roots: 12i and -12i.


Find all the real square roots of 0.004?

( +0.063246 ) and ( -0.063246 ).These numbers are rounded.These are the only square roots of 0.004. There are no more real ones,and no imaginary or complex ones.


Is the square root a real number?

The square roots of any positive real number are a positive and a negative real number. The square roots of any negative real number are a positive and a negative imaginary number. The square roots of any imaginary number or any complex number are two complex numbers.


Is radical 25 a real number?

If by "radical" you mean "square root of", then yes. Both square roots of 25 are real numbers.


What real number subsets are square root numbers in?

if there is no integer answer, they are irrationalex. sq root 5 is irrational but sq root 9 = 3 so it is rational,integer, counting numberif you are taking sq root of a negative they are imaginary ex. sqroot (-9)=========================The square roots of all positive real numbers are real numbers.The square roots of all negative real numbers are imaginary numbers.Some square roots are rational, but the vast majority are irrational.


Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.