Question

Is
`√(36)` rational or irational. Why?

Answer 1

`\mathbf{Task. ~}\mathrm{Is} ~ √(36) ~ \mathrm{rational~or~irrational.~ Why?}`

`\mathbf{Rational~numbers~}\mathrm{are~numbers~that~can~be~represented~as~ordinary~ fractions.}`

`\mathrm{Examples \colon} ~ (1)/(2); \ 0{,}5; \ -1(2)/(3) ; \ 0{,}(3).`

`\mathrm{All~integers~are~rational~numbers \colon} ~ 0; ~ 6; ~ 121; ~ 1 \ 000 \ 000; ~ {-5}; ~ {-41}`

`\mathbf{Irrational~numbers~}\mathrm{are~numbers~that~are~not~rational.}`

`\mathrm{Examples \colon} ~ \pi, ~ e, ~ √(3), ~ \sqrt[3]{7}, ~ \log_(3)2`

`\mathrm{Since} ~ √(36) = 6 ~ \mathrm{then~it~is~a~rational~number.}`

`Answer \colon ~ \mathrm{rational~number}. ~ \blacktriangle`

Answer 2

The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.