Sam said the square root of a rational number. Jenna disagreed. She said that it is posible that the square root of a rational number can be irrational. Who is correct and why?

Question

Miguel Escobar

Mathematics

3 May, 18:06

Sam said the square root of a rational number. Jenna disagreed. She said that it is posible that the square root of a rational number can be irrational. Who is correct and why?

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Answers (1)

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Porter Howell · Answer 1

Jenna is correct.

Step-by-step explanation:

I will assume that is what you meant.

Jenna is correct.

The square root of 4 ( = 2) is rational but,

for example, 2 is a rational number but the square root of 2 is irrational. Try finding the square root of 2 on your calculator. Your answer will be something like 1.414213562 but that decimal fraction goes on without bounds. No calculator will ever have enough memory to store that number!