Class 9 Number Systems Important Questions

Number Systems Important Questions

Find three rational number between $\frac{3}{4}$ and $\frac{5}{6}$ .
Represent √ 6.4 on the number line.
If x = $\frac{2 - \sqrt{5}}{2 + \sqrt{5}}$ and y = $\frac{2 + \sqrt{5}}{2 - \sqrt{5}}$ , find the value of x² + y² + xy.
Express 6.234 in the form of p/q.
If x = $2 + \sqrt{3}$ , find the value of $x^{2} + \frac{1}{x^{2}}$ .
Find the smallest of the numbers $\sqrt[3]{6}$ , $\sqrt[3]{24}$ and $\sqrt[4]{8}$ .
Find three irrational numbers between $\frac{1}{7}$ and $\frac{2}{7}$ .
If x = $\frac{\sqrt{p + q} + \sqrt{p - q}}{\sqrt{p + q} - \sqrt{p - q}}$ , then find the value of qx² -2px + q.
If 2^a = 3^b = 6^c then show that c = $\frac{ab}{a + b}$ .
Represent $\sqrt{3}$ on the number line .

Class 9