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Q: Are irrational numbers used to find square roots?

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Because the ancients were trying to find the measure of the diagonal of a square with sides of length one unit. The diagonal would not come out as any rational number and so irrational numbers - including square roots - had to be invented.

Rational zero test cannot be used to find irrational roots as well as rational roots.

Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.

Without it you wouldn't be able to find the square roots of prime numbers.

NO try and find the square root of 3. don't hurt yourself.

Most square roots, cube roots, etc. - including this one - are irrational numbers. That means you can't write them exactly as a fraction. Of course, you can calculate the cubic root with a calculator or with Excel, then find a fraction that is fairly close to it.

72 = 49 and 82 = 64. So, the square root of any integer between these two numbers, for example, sqrt(56), is irrational.

Any number that can't be expessed as a fraction is an irrational number as for example the square root of 4.5

Fne if they are sufficiently far apart. Otherwise, you may be better off squaring all the numbers. The smaller numbers will still have the smaller squares and at least you won't have irrational numbers to deal with.

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

Probably when people tried to find the length of the diagonal of a unit square [sqrt(2)].

It is proven that between two irrational numbers there's an irrational number. There's no method, you just know you can find the number.

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