Which of the following statements are true and which are false? In each case,give a valid reason for your answer.
$t: \sqrt{11}$ is a rational number.
$t: \sqrt{11}$ is a rational number.
(B) $11$ is a prime number,and the square root of any prime number is an irrational number.
Therefore,$\sqrt{11}$ is an irrational number.
Thus,the given statement $t$ is false.
Therefore,$\sqrt{11}$ is an irrational number.
Thus,the given statement $t$ is false.
Explore More
Similar Questions
The solution of the equation $4 \cdot 9^{x - 1} = 3 \cdot \sqrt{2^{2x + 1}}$ is
Medium
View Solution$\frac{\sqrt{8+\sqrt{28}}+\sqrt{8-\sqrt{28}}}{\sqrt{8+\sqrt{28}}-\sqrt{8-\sqrt{28}}}$ is equal to
$\sqrt{6 + 2\sqrt{3} + 2\sqrt{2} + 2\sqrt{6}} - \frac{1}{\sqrt{5 + 2\sqrt{6}}} = $
Difficult
View SolutionThe number of digits in the decimal expansion of $16^5 \times 5^{16}$ is
Evaluate: $\sqrt{3 + \sqrt{5}}$
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo