Question

All of the following are rational except _____.

A) √0.49
B) √19
C) √100
D) √900

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Answer 1

All of the given options represent square roots, but only option B) √19 is irrational.

Step-by-step explanation:

All of the given options represent square roots, but only option B) √19 is irrational. To determine if a square root is rational or irrational, we need to consider if the number inside the square root is a perfect square. √0.49 is equal to 0.7, which is rational because 0.7 is 7/10. √100 is equal to 10, which is rational because 10 can be written as a fraction, 10/1. √900 is equal to 30, which is rational because 30 can also be written as a fraction, 30/1. However, √19 is irrational because 19 is not a perfect square and the square root cannot be expressed as a fraction or decimal. So, the correct answer is B) √19.