Are you rational

Only $\sqrt{10}$ and $\pi$ are irrational. Hence the rational numbers are 10-2=8 in number. $\square$

A rational number is a number that can be in the form p/q where p and q are integers and q is not equal to zero. So except √10 and π , all 8 are rational numbers .

This isn't a solution, but a wee problem for you to think about. A rational number + a rational number always equals a rational number. Does an irrational number + an irrational number always equal an irrational number?

jus find which numbers u cant depict in (p/q) form

0, 1, 2/3, 1.2/3.4, 5/6 + 7/8, √16, π/(π+π) and √(1+5/4) are rational.

A rational number is any number that can be expressed as p/q, where p and q are integers, p ≠ q, q ≠ 0, p and q are relative primes.

Of the 10 examples, only two cannot be expressed like this and are irrational: #6 and #

1. 0 can be expressed as 0/1 and is therefore rational. 0 works fine as a numerator.
2. 1 can be expressed as 1/1. Rational.
3. 2/3 is rational.
4. 1.2/3.4 can be expressed as 12/34 or 6/17 and is therefore rational.
5. 5/6 + 7/8 simplifies to 41/24 and is rational.
6. √10 cannot be expressed as p/q and is therefore irrational.
7. √16 is 4, 4/1 is a rational number.
8. π is the most famous irrational number.
9. π/(π+π) simplifies to 1/2, which is rational. (I initially counted this as irrational without simplifying and got the first attempt wrong... silly me!)
10. √(1+5/4) simplifies to √(9/4) or √9/√4, or 3/2, which is a rational number.

A number which can be express as a fraction(i.e.p/q) is called rational. Or another way to identify a rational number is - if the square root of a number is a integer then the number is called rational. e.g. sqrt{16}=4. and here 0=(0/1). As a result only Only \sqrt{10} and \pi are not rational. Therefore the number of rational number here is 8.

only pi and sqrt(10) are irrational number

A number is said to be rational when the no. can be represented in the form $\frac{p}{q}$ .

Here, only $\sqrt{10}$ and $\pi$ are irrational as they cannot be represented in the form $\frac{p}{q}$ .

So, there are $(10-2) = \boxed{8}$ rational nos. here.

$0$

$1$

$\displaystyle \frac { 2 } { 3 }$

$\displaystyle \frac { 1.2 } { 3.4 }$

$\displaystyle \frac { 5 } { 6 } + \frac { 7 } { 8 } = \frac { 20 } { 24 } + \frac { 21 } { 24 } = \frac { 41 } { 24 }$

$\displaystyle \sqrt { 10 } = \frac { a } { b }, a, b \in \mathbb { Q }, \text { a, b are coprime } \rightarrow 10 = \frac { a ^ { 2 } } { b ^ { 2 } } \rightarrow b ^ { 2 } 10 = a ^ { 2 } \rightarrow 2 | a \rightarrow 5 b ^ { 2 } = \frac { a ^ { 2 } } { 2 } \rightarrow 2 | b \rightarrow \text { which contrasts our conditions. }$

$\sqrt { 16 } = \sqrt { \pm 4 ^ { 2 } } = \pm 4$ .

$\pi = \text { irrational number, and transcendental number. }$

$\displaystyle \frac { \pi } { \pi + \pi } = \frac { \pi } { 2 \pi } = \frac { 1 } { 2 }$

$\displaystyle \sqrt { 1 + \frac { 5 } { 4 } } = \sqrt { \frac { 4 } { 4 } + \frac { 5 } { 4 } } = \sqrt { \frac { 9 } { 4 } } = \sqrt { \left ( \pm \frac { 3 } { 2 } \right ) ^ { 2 } } = \pm \frac { 3 } { 2 }$

$\text { Hence, there are } \boxed { 8 } \text { rational numbers. }$

Ratinal no. are those which can be expressed as x/y, (y non-zero)...........

Any number that can be written in fraction form is a rational number. Tis includes integers, terminating decimals, and repeating decimals as well as fractions. 1) 0/1=0 , rational no. 2)1/1=1,rational no. 3)2/3=0.66667,rational no. 4)1.2/3.4=0.35294,rational no. 5)5/6+7/8=1.70833,rational no. 6)sqr root of 10=3.16228,rational no. 7)sqr root of 16=4,rational no. 8)pi=3.14159-----------------------,non terminating ,irrational no. 9)pi/pi+pi=non terminating , irrational no. 10)sqr root of 1+5/4=2.25,rational no.

therefore total no. of rational no. is 8

yahh.. 8

ans 8

Only pi and sqrt(10) are irrational. Zero is not as 0 can be expressed as 0/Q where Q can be any positive or negative integer.

8

0 and 10 can't be put in the form p/q where p and q are integers and q not equal to zero

according to my opinion rational number are those having numeric value

the term 1st, 2nd, 3rd, 4th, 5th,7th, 9th, 10th are rational number

total number=8

All in the first row are rational.. Right? Agree? The first one in second row (root 10) is irrational and "pi" is irrational.. 5+3=8

pi is irrational number as pi is infinite decimal series.pi=3.14.... sqrt of 10 is irrational number.

My answers are 0,1,2/3, 1.2/3.4, 5/6+7/8, square root of 16, pi/pi+pi, and the square root of 1+5/4. O can be written in a fraction with O numerator and any integer as denominator. 1 is a perfect square ( all perfect squares are rational numbers-Eucledian theorem), pi/pi+ pi= 1/2, 16 is a perfect square and the square root of 1+5/4 is 3/2.