1. Find two rational numbers between 2 V3 and V15.
Answers
Step-by-step explanation:
will multiply and divide a same number greater than 2 to both the given numbers, say 3 as 3>2. When we will multiply and divide by 3, the numbers 2 and 3 will be equivalent to 63 and 93. Now, we can easily write two rational numbers between 2 and 3.
Complete step-by-step answer:
We have to find two rational numbers between 2 and 3.
Rational numbers are of the form pq,q≠0.
There are infinite rational numbers between any two numbers.
Since, we have to find two rational numbers between 2 and 3, we will multiply and divide a same number greater than 2 to both the given numbers.
Let us multiply these numbers by 3.
2×33=63 and 3×33=93
Now, we can easily write two rational numbers between 2 and 3.
That are, 73,83
Hence, 73,83 are two rational numbers between 2 and 3.
Note: We have multiplied and divided here the numbers by 3, but we can use any number greater than 2. Every whole number has 1 as its denominator, like 3 is equivalent to 31. Therefore, we can say every natural number is also a rational number. Also, there are infinite rational numbers between any two numbers. Rational numbers can be plotted on a number line and hence are real numbers.
use the above attachment