Question

Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational please answer quickly I need to get this test done ​

Answer 1

-7, rational

sqrt 10, irrational

sqrt 16 = 4, rational

52% = 0.52, rational

1.235, rational

Answer 2

`\text{A rational number is a real number that is in the form of}~ \frac pq,\\\\\text{where p and q are integers and}~ q \\eq 0\\\\\text{The real numbers that cannot be expressed as the ratio of two integers}~ \\\text{ are called Irrational numbers.}\\\\-7 = \frac{-7}1 \\\\\text{So}~ -7 ~ \textbf{is rational.}\\\\\\√(10) ~ \text{is irrational because 10 is not a perfect square.}\\\\\text{So}~ √(10)~ \textbf{is irrational.}\\\\\\`

`√(16) = √(4^2) = \left(4^2 \right)^(\tfrac 12) = 4 = \frac 41\\\\\text{So,}~ √(16)~ \textbf{is rational.}\\\\\\52\% = (52)/(100)\\\\\text{So,}~ 52\%~ \textbf{is rational.}\\\\\\1.235 =(1235)/(1000)\\\\\text{So,}~1.235~ \textbf{is rational.}`