Question

Which of the following numbers is irrational?

negative 7 over 4, 2 over 3, square root of 3, square root of 4

a fraction with numerator negative 7 and denominator 4
a fraction with numerator 2 and denominator 3
square root of 3
square root of 4

Answer 1

help

Answer 2

\[\LARGE -\frac{7}{4}, \frac{2}{3}, \sqrt{3},\sqrt{4}\]
like this?

Answer 3

yes @UsukiDoll

Answer 4

ok the definition of a rational number is
any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Since q may be equal to 1, every integer is a rational number.

Answer 5

irrational numbers can't be expressed as fractions. having square roots is a dead giveaway of an irrational number

Answer 6

an irrational number is any real number that cannot be expressed as a ratio of integers. Irrational numbers cannot be represented as terminating or repeating decimals.

Answer 7

\[\LARGE e, \pi, \sqrt{2}\] are examples of irrational numbers.

Answer 8

so from this list

\[\LARGE -\frac{7}{4}, \frac{2}{3}, \sqrt{3},\sqrt{4} \]

which of them are irrational?

Answer 9

3

Answer 10

yes the square root of 3 is irrational

Answer 11

the square root of 4 can be simplified further into 2 and it's rational because it can be expressed as a fraction which is \[\LARGE \frac{2}{1}\]

Answer 12

\[\LARGE \frac{2}{1} \rightarrow 2 \]

Answer 13

everything else is rational
\[\LARGE \sqrt{3} \] is irrational.

Answer 14

thanks :) @UsukiDoll