Question
$\Big(\frac{2+\sqrt{5}}{3}\Big)$is _________ number.
✓
Answer
$\Big(\frac{2+\sqrt{5}}{3}\Big)$is irrational number.Solution:
$\therefore\Big(\frac{2+\sqrt{5}}{3}\Big)$is not be written in the form of $\frac{\text{n}}{\text{d}}$
Where n amd d is non zero number. So, $\Big(\frac{2+\sqrt{5}}{3}\Big)$is irrational number.
$\therefore\Big(\frac{2+\sqrt{5}}{3}\Big)$is not be written in the form of $\frac{\text{n}}{\text{d}}$
Where n amd d is non zero number. So, $\Big(\frac{2+\sqrt{5}}{3}\Big)$is irrational number.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm, is ____________ .
If the sequence $\frac{a-3 b}{b}, \frac{3 a-3 b}{b}, \frac{5 a-3 b}{b}, \frac{7 a-3 b}{b}, \ldots$ is an A.P. with common difference 3, then a / b = __________.
→The 11th term of the A.P $-5,-\frac{5}{2}, 0, \frac{5}{2}, \ldots \ldots$. Is __________.
→A line intersecting a circle in two points is called a ________________ .
If a < b < 2a and mean and median of a, b and 2a are 15 and 12 respectively, then a = ____________ .
The $21^{ st }$ term of the A.P. whose terms are - 3 and 4 is __________.
→In fig. the angles of depressions from the observing positions $O_1$ and $O_2$ respectively of the object $A$ are _________, _________.
→The lengths of two tangents drawn from an external point to a circle are ____________ .
Two circles touch each other externally. The sum of their areas is $490 \pi cm^2$. Their centres are separated by 28 cm. The difference of their perimeters is ____________ .
→The system of equations ax + 3y = 1 - 12x + ay = 2 has __________ for all real values of 4.