Question

11. Reason Identify each solution as rational or

irrational
a.

`(4)/(7) + ( - 1)/(3)`

b.

`√(4) \: (2)/(5)`
​

Answer 1

a. Rational; b. rational

Explanation:

A rational number is the quotient of two integers.

a. ⁴/₇ + ⁻¹/₃

`\begin{array}{rcl}(4)/(7) + (-1)/(3) & = & (12)/(21) + (-7)/(21) \\\\& = & (5)/(21)\\\end{array}`

The solution is rational.

b. √4 ⅖

`\begin{array}{rcl}√(4) \, (2)/(5) & = & 2 \, (2)/(5)\\\\& = & (22)/(5)\\\end{array}`

The solution is rational.