Insert a rational number and an irrational number between √2 and √3
Solution:
Given, the numbers are √2 and √3.
We know that
√2 = 1.41
√3 = 1.732
Rational numbers are numbers which are in the form of p/q, where q is not equal to 0, p and q are integers.
Irrational numbers are numbers which are in decimal form.
To find a rational number R, we use the formula,
R = (p + q)/2
Let p = 1.41 and q = 1.732, we get,
R = (1.41 + 1.732)/2
R = (3.142)/2
R = 1.571
To find an irrational number Q, we use the formula,
Q = √pq,
where p and q are not perfect squares.
Q = √1.41 × 1.732
Q = 1.5627…
Therefore, the rational number is 1.571 and the irrational number is 1.5627...
✦ Try This: .Insert a rational number and an irrational number between 2.021 and 3.335.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 3(vi)
Insert a rational number and an irrational number between √2 and √3
Summary:
The rational number and irrational number between √2 and √3 are 1.571 and 1.5627… respectively
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