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Fittoniya [83]
4 years ago
6

Which number is rational , square root 2 , pi , square root 10 or square 16

Mathematics
2 answers:
melamori03 [73]4 years ago
8 0

The square root of 16 is rational.

vova2212 [387]4 years ago
4 0

Answer: The only rational number in your list is "square 16" - I am assuming you mean square root of 16.

Explanation:

Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).

pi is also known to be irrational although the proof is a bit more demanding.

Square root of 10 can be written as a product of square root of 5 and square root of 2, which themselves are irrational. Any product involving an irrational number is irrational

Square root of 16 = 4. 4 can be written as a fraction 4/1, or 8/2, 16/4, etc. and therefore is rational by definition.

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