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According to the index we can take one number out of the radical sign.
Rational numbers examples square root. Famous irrational numbers. A number that squares to produce an integer is the square root. To find square root and cube root of a rational number we have to do the following steps. If it contains a square as in 9 and 16 it can be made into an integer by removing the root sign in an exceptional case.
We have 256 441 256 441 first find the square roots of 256 and 441 separately using prime factorization method. Identify the index of the given radical. 2 x 2 x 64. However in the case of 2 and 3 it is not possible to write an integer.
2 x 2 x 2 x 2 x 16. Decompose the number inside the radical sign into prime factors. 1 find the square root of rational numbers 256 441. Many square roots cube roots etc are also irrational numbers.
3 1 7320508075688772935274463415059 etc 99 9 9498743710661995473447982100121 etc. Examples on square root of rational numbers.
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